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13424330402240 = 265811187127647
BaseRepresentation
bin1100001101011001100001…
…1100011110100111000000
31202112100112200000101122012
43003112120130132213000
53224421012040332430
644315015141432052
72553606264454622
oct303263034364700
952470480011565
1013424330402240
1143062545a443a
12160988510b628
13764ba7ba6974
14345a5366cc12
151842e7088695
hexc359871e9c0

13424330402240 has 112 divisors (see below), whose sum is σ = 32024367857664. Its totient is φ = 5360050713600.

The previous prime is 13424330402209. The next prime is 13424330402243. The reversal of 13424330402240 is 4220403342431.

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 = 13424330402197 and 13424330402206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424330402243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485548097 + ... + 485575743.

It is an arithmetic number, because the mean of its divisors is an integer number (285931855872).

Almost surely, 213424330402240 is an apocalyptic number.

13424330402240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13424330402240 is an abundant number, since it is smaller than the sum of its proper divisors (18600037455424).

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

13424330402240 is a wasteful number, since it uses less digits than its factorization.

13424330402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30346 (or 30336 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 13424330402240 its reverse (4220403342431), we get a palindrome (17644733744671).

The spelling of 13424330402240 in words is "thirteen trillion, four hundred twenty-four billion, three hundred thirty million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 811 1622 1871 3244 3742 4055 6488 7484 8110 9355 12976 14968 16220 18710 25952 27647 29936 32440 37420 51904 55294 59872 64880 74840 110588 119744 129760 138235 149680 221176 259520 276470 299360 442352 552940 598720 884704 1105880 1517381 1769408 2211760 3034762 4423520 6069524 7586905 8847040 12139048 15173810 22421717 24278096 30347620 44843434 48556192 51727537 60695240 89686868 97112384 103455074 112108585 121390480 179373736 206910148 224217170 242780960 258637685 358747472 413820296 448434340 485561920 517275370 717494944 827640592 896868680 1034550740 1434989888 1655281184 1793737360 2069101480 3310562368 3587474720 4138202960 7174949440 8276405920 16552811840 41951032507 83902065014 167804130028 209755162535 335608260056 419510325070 671216520112 839020650140 1342433040224 1678041300280 2684866080448 3356082600560 6712165201120 13424330402240