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144210041313440 = 25567103130606109
BaseRepresentation
bin100000110010100010000100…
…010010010001100010100000
3200220121100022201201111112112
4200302202010102101202200
5122400214131034012230
61230413102311214452
742242555155016414
oct4062420422214240
9626540281644475
10144210041313440
1141a4a153856463
1214210a57077428
136260c43c4c08b
142787b36146d44
1511a137a239d95
hex8328844918a0

144210041313440 has 96 divisors (see below), whose sum is σ = 349138342949760. Its totient is φ = 56271380419584.

The previous prime is 144210041313433. The next prime is 144210041313461. The reversal of 144210041313440 is 44313140012441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 144210041313397 and 144210041313406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64198895 + ... + 66407214.

It is an arithmetic number, because the mean of its divisors is an integer number (3636857739060).

Almost surely, 2144210041313440 is an apocalyptic number.

144210041313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144210041313440 is an abundant number, since it is smaller than the sum of its proper divisors (204928301636320).

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

144210041313440 is a wasteful number, since it uses less digits than its factorization.

144210041313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130606294 (or 130606286 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144210041313440 its reverse (44313140012441), we get a palindrome (188523181325881).

The spelling of 144210041313440 in words is "one hundred forty-four trillion, two hundred ten billion, forty-one million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 103 134 160 206 268 335 412 515 536 670 824 1030 1072 1340 1648 2060 2144 2680 3296 4120 5360 6901 8240 10720 13802 16480 27604 34505 55208 69010 110416 138020 220832 276040 552080 1104160 130606109 261212218 522424436 653030545 1044848872 1306061090 2089697744 2612122180 4179395488 5224244360 8750609303 10448488720 13452429227 17501218606 20896977440 26904858454 35002437212 43753046515 53809716908 67262146135 70004874424 87506093030 107619433816 134524292270 140009748848 175012186060 215238867632 269048584540 280019497696 350024372120 430477735264 538097169080 700048744240 901312758209 1076194338160 1400097488480 1802625516418 2152388676320 3605251032836 4506563791045 7210502065672 9013127582090 14421004131344 18026255164180 28842008262688 36052510328360 72105020656720 144210041313440