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21400012031424 = 2631337231722237
BaseRepresentation
bin1001101110110100101000…
…00111011000010111000000
32210202211011122002120010220
410313122110013120113000
510301104211040001144
6113303010234423040
74336046150651655
oct467322407302700
983684148076126
1021400012031424
11690076a992754
122497570891a80
13bc3021540ca0
1453daa22b9c2c
152719e40c0919
hex1376941d85c0

21400012031424 has 112 divisors (see below), whose sum is σ = 62624325152928. Its totient is φ = 6406656380928.

The previous prime is 21400012031417. The next prime is 21400012031477. The reversal of 21400012031424 is 42413021000412.

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

It is a junction number, because it is equal to n+sod(n) for n = 21400012031394 and 21400012031403.

It is a congruent number.

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, 115768767 + ... + 115953470.

It is an arithmetic number, because the mean of its divisors is an integer number (559145760294).

Almost surely, 221400012031424 is an apocalyptic number.

21400012031424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21400012031424 is an abundant number, since it is smaller than the sum of its proper divisors (41224313121504).

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

21400012031424 is a wasteful number, since it uses less digits than its factorization.

21400012031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231722302 (or 231722292 counting only the distinct ones).

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

Adding to 21400012031424 its reverse (42413021000412), we get a palindrome (63813033031836).

The spelling of 21400012031424 in words is "twenty-one trillion, four hundred billion, twelve million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 148 156 192 208 222 296 312 416 444 481 592 624 832 888 962 1184 1248 1443 1776 1924 2368 2496 2886 3552 3848 5772 7104 7696 11544 15392 23088 30784 46176 92352 231722237 463444474 695166711 926888948 1390333422 1853777896 2780666844 3012389081 3707555792 5561333688 6024778162 7415111584 8573722769 9037167243 11122667376 12049556324 14830223168 17147445538 18074334486 22245334752 24099112648 25721168307 34294891076 36148668972 44490669504 48198225296 51442336614 68589782152 72297337944 96396450592 102884673228 111458395997 137179564304 144594675888 192792901184 205769346456 222916791994 274359128608 289189351776 334375187991 411538692912 445833583988 548718257216 578378703552 668750375982 823077385824 891667167976 1337500751964 1646154771648 1783334335952 2675001503928 3566668671904 5350003007856 7133337343808 10700006015712 21400012031424