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144121011423440 = 245175315671275979
BaseRepresentation
bin100000110001001111001001…
…101100001100100011010000
3200220021211112002021111011012
4200301033021230030203100
5122342234312411022230
61230304140103510052
742233254005314042
oct4061171154144320
9626254462244135
10144121011423440
1141a154177a3377
12141b774b158328
1362557261000ac
1427836cc015a92
15119ddb9138395
hex8313c9b0c8d0

144121011423440 has 160 divisors (see below), whose sum is σ = 361717178618880. Its totient is φ = 53199585533952.

The previous prime is 144121011423379. The next prime is 144121011423589. The reversal of 144121011423440 is 44324110121441.

It is a junction number, because it is equal to n+sod(n) for n = 144121011423397 and 144121011423406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112311371 + ... + 113587349.

It is an arithmetic number, because the mean of its divisors is an integer number (2260732366368).

Almost surely, 2144121011423440 is an apocalyptic number.

144121011423440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144121011423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180858589309440).

144121011423440 is an abundant number, since it is smaller than the sum of its proper divisors (217596167195440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144121011423440 is a wasteful number, since it uses less digits than its factorization.

144121011423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277629 (or 1277623 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 144121011423440 its reverse (44324110121441), we get a palindrome (188445121544881).

The spelling of 144121011423440 in words is "one hundred forty-four trillion, one hundred twenty-one billion, eleven million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 53 68 80 85 106 136 170 212 265 272 340 424 530 680 848 901 1060 1360 1567 1802 2120 3134 3604 4240 4505 6268 7208 7835 9010 12536 14416 15670 18020 25072 26639 31340 36040 53278 62680 72080 83051 106556 125360 133195 166102 213112 266390 332204 415255 426224 532780 664408 830510 1065560 1275979 1328816 1411867 1661020 2131120 2551958 2823734 3322040 5103916 5647468 6379895 6644080 7059335 10207832 11294936 12759790 14118670 20415664 21691643 22589872 25519580 28237340 43383286 51039160 56474680 67626887 86766572 102078320 108458215 112949360 135253774 173533144 216916430 270507548 338134435 347066288 433832860 541015096 676268870 867665720 1082030192 1149657079 1352537740 1735331440 1999459093 2299314158 2705075480 3998918186 4598628316 5410150960 5748285395 7997836372 9197256632 9997295465 11496570790 15995672744 18394513264 19994590930 22993141580 31991345488 33990804581 39989181860 45986283160 67981609162 79978363720 91972566320 105971331929 135963218324 159956727440 169954022905 211942663858 271926436648 339908045810 423885327716 529856659645 543852873296 679816091620 847770655432 1059713319290 1359632183240 1695541310864 1801512642793 2119426638580 2719264366480 3603025285586 4238853277160 7206050571172 8477706554320 9007563213965 14412101142344 18015126427930 28824202284688 36030252855860 72060505711720 144121011423440