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401525231112320 = 2757212803738237
BaseRepresentation
bin101101101001011110110000…
…0110001001101000010000000
31221122200102210201200120011212
41123102331200301031002000
5410112042133131043240
63541550051131025252
7150401145352320200
oct13322754061150200
91848612721616155
10401525231112320
11106a35992249127
123904a34359b228
1314307889029203
147121cd3c1c400
1531648d55ed165
hex16d2f60c4d080

401525231112320 has 96 divisors (see below), whose sum is σ = 1116614011735980. Its totient is φ = 137665793513472.

The previous prime is 401525231112311. The next prime is 401525231112347. The reversal of 401525231112320 is 23211132525104.

It can be written as a sum of positive squares in 2 ways, for example, as 360726147955264 + 40799083157056 = 18992792^2 + 6387416^2 .

It is a super-2 number, since 2×4015252311123202 (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6401837759 + ... + 6401900478.

Almost surely, 2401525231112320 is an apocalyptic number.

401525231112320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401525231112320 is an abundant number, since it is smaller than the sum of its proper divisors (715088780623660).

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

401525231112320 is a wasteful number, since it uses less digits than its factorization.

401525231112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12803738270 (or 12803738251 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 401525231112320 its reverse (23211132525104), we get a palindrome (424736363637424).

The spelling of 401525231112320 in words is "four hundred one trillion, five hundred twenty-five billion, two hundred thirty-one million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 6272 7840 15680 31360 12803738237 25607476474 51214952948 64018691185 89626167659 102429905896 128037382370 179252335318 204859811792 256074764740 358504670636 409719623584 448130838295 512149529480 627383173613 717009341272 819439247168 896261676590 1024299058960 1254766347226 1434018682544 1638878494336 1792523353180 2048598117920 2509532694452 2868037365088 3136915868065 3585046706360 4097196235840 5019065388904 5736074730176 6273831736130 7170093412720 8194392471680 10038130777808 11472149460352 12547663472260 14340186825440 20076261555616 25095326944520 28680373650880 40152523111232 50190653889040 57360747301760 80305046222464 100381307778080 200762615556160 401525231112320