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244342111440 = 24357367396299
BaseRepresentation
bin1110001110001111101…
…1001011110011010000
3212100200121210100010010
43203203323023303100
513000403040031230
6304125455234520
723440011451560
oct3434373136320
9770617710103
10244342111440
119469682a899
123b431818a40
131a06cb4683b
14bb7d218da0
15655125c9b0
hex38e3ecbcd0

244342111440 has 160 divisors (see below), whose sum is σ = 868030156800. Its totient is φ = 55697306112.

The previous prime is 244342111411. The next prime is 244342111493. The reversal of 244342111440 is 44111243442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 244342111398 and 244342111407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418411 + ... + 814709.

It is an arithmetic number, because the mean of its divisors is an integer number (5425188480).

Almost surely, 2244342111440 is an apocalyptic number.

244342111440 is a gapful number since it is divisible by the number (20) 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 244342111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434015078400).

244342111440 is an abundant number, since it is smaller than the sum of its proper divisors (623688045360).

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

244342111440 is a wasteful number, since it uses less digits than its factorization.

244342111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396689 (or 396683 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 244342111440 its reverse (44111243442), we get a palindrome (288453354882).

The spelling of 244342111440 in words is "two hundred forty-four billion, three hundred forty-two million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 367 420 560 734 840 1101 1468 1680 1835 2202 2569 2936 3670 4404 5138 5505 5872 7340 7707 8808 10276 11010 12845 14680 15414 17616 20552 22020 25690 29360 30828 38535 41104 44040 51380 61656 77070 88080 102760 123312 154140 205520 308280 396299 616560 792598 1188897 1585196 1981495 2377794 2774093 3170392 3962990 4755588 5548186 5944485 6340784 7925980 8322279 9511176 11096372 11888970 13870465 15851960 16644558 19022352 22192744 23777940 27740930 31703920 33289116 41611395 44385488 47555880 55481860 66578232 83222790 95111760 110963720 133156464 145441733 166445580 221927440 290883466 332891160 436325199 581766932 665782320 727208665 872650398 1018092131 1163533864 1454417330 1745300796 2036184262 2181625995 2327067728 2908834660 3054276393 3490601592 4072368524 4363251990 5090460655 5817669320 6108552786 6981203184 8144737048 8726503980 10180921310 11635338640 12217105572 15271381965 16289474096 17453007960 20361842620 24434211144 30542763930 34906015920 40723685240 48868422288 61085527860 81447370480 122171055720 244342111440