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21123243042444 = 223259389161915791
BaseRepresentation
bin1001100110110001000110…
…11001011110011010001100
32202210100210010102011112100
410303120203121132122030
510232040400204324234
6112531514530435100
74310050440242364
oct463304331363214
982710703364470
1021123243042444
116804354019914
1224519ab432a90
13ba2bb45c5a5a
145305285db9a4
152696e6154399
hex13362365e68c

21123243042444 has 144 divisors (see below), whose sum is σ = 54476525376000. Its totient is φ = 6899245714560.

The previous prime is 21123243042383. The next prime is 21123243042469. The reversal of 21123243042444 is 44424034232112.

21123243042444 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 324 + 304 + 24 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21123243042399 and 21123243042408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1337668189 + ... + 1337683979.

It is an arithmetic number, because the mean of its divisors is an integer number (378309204000).

Almost surely, 221123243042444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21123243042444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27238262688000).

21123243042444 is an abundant number, since it is smaller than the sum of its proper divisors (33353282333556).

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

21123243042444 is a wasteful number, since it uses less digits than its factorization.

21123243042444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17868 (or 17863 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 21123243042444 its reverse (44424034232112), we get a palindrome (65547277274556).

The spelling of 21123243042444 in words is "twenty-one trillion, one hundred twenty-three billion, two hundred forty-three million, forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 389 531 708 778 1062 1167 1556 1619 2124 2334 3238 3501 4668 4857 6476 7002 9714 14004 14571 15791 19428 22951 29142 31582 45902 47373 58284 63164 68853 91804 94746 95521 137706 142119 189492 191042 206559 275412 284238 286563 382084 413118 568476 573126 629791 826236 859689 931669 1146252 1259582 1719378 1863338 1889373 2519164 2795007 3438756 3726676 3778746 5590014 5668119 6142699 7557492 8385021 11180028 11336238 12285398 16770042 18428097 22672476 24570796 25565629 33540084 36856194 37157669 51131258 55284291 73712388 74315338 76696887 102262516 110568582 111473007 148630676 153393774 221137164 222946014 230090661 306787548 334419021 362419241 445892028 460181322 668838042 724838482 920362644 1087257723 1337676084 1449676964 1508372111 2174515446 3016744222 3261773169 4349030892 4525116333 6033488444 6523546338 9050232666 9945029681 13047092676 13575348999 18100465332 19890059362 27150697998 29835089043 39780118724 54301395996 59670178086 89505267129 119340356172 179010534258 358021068516 586756751179 1173513502358 1760270253537 2347027004716 3520540507074 5280810760611 7041081014148 10561621521222 21123243042444