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231120421440 = 2635557432227
BaseRepresentation
bin1101011100111111011…
…0011100001001000000
3211002120011211220010220
43113033312130021000
512241313311441230
6254101504423040
722461244111446
oct3271766341100
9732504756126
10231120421440
118a0214a8467
1238961917a80
1318a4386512c
14b287262b96
15602a619d10
hex35cfd9c240

231120421440 has 112 divisors (see below), whose sum is σ = 735126466752. Its totient is φ = 61521319936.

The previous prime is 231120421439. The next prime is 231120421459. The reversal of 231120421440 is 44124021132.

231120421440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231120421440.

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 15 ways as a sum of consecutive naturals, for example, 318607 + ... + 750833.

Almost surely, 2231120421440 is an apocalyptic number.

231120421440 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 231120421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367563233376).

231120421440 is an abundant number, since it is smaller than the sum of its proper divisors (504006045312).

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

231120421440 is a wasteful number, since it uses less digits than its factorization.

231120421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432804 (or 432794 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 231120421440 its reverse (44124021132), we get a palindrome (275244442572).

The spelling of 231120421440 in words is "two hundred thirty-one billion, one hundred twenty million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 557 960 1114 1671 2228 2785 3342 4456 5570 6684 8355 8912 11140 13368 16710 17824 22280 26736 33420 35648 44560 53472 66840 89120 106944 133680 178240 267360 432227 534720 864454 1296681 1728908 2161135 2593362 3457816 4322270 5186724 6483405 6915632 8644540 10373448 12966810 13831264 17289080 20746896 25933620 27662528 34578160 41493792 51867240 69156320 82987584 103734480 138312640 207468960 240750439 414937920 481500878 722251317 963001756 1203752195 1444502634 1926003512 2407504390 2889005268 3611256585 3852007024 4815008780 5778010536 7222513170 7704014048 9630017560 11556021072 14445026340 15408028096 19260035120 23112042144 28890052680 38520070240 46224084288 57780105360 77040140480 115560210720 231120421440