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14104124322024 = 233113531213124769
BaseRepresentation
bin1100110100111101111101…
…0100011111000011101000
31211221100012200012120012210
43031033133110133003220
53322040221311301044
645555202324405120
72653663230444402
oct315173724370350
954840180176183
1014104124322024
114548586538990
1216b95828467a0
137b4023063309
1436a901165b72
15196d322691b9
hexcd3df51f0e8

14104124322024 has 128 divisors (see below), whose sum is σ = 38606872406400. Its totient is φ = 4258321858560.

The previous prime is 14104124321993. The next prime is 14104124322103. The reversal of 14104124322024 is 42022342140141.

It is a super-2 number, since 2×141041243220242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14104124321982 and 14104124322000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112979512 + ... + 113104280.

It is an arithmetic number, because the mean of its divisors is an integer number (301616190675).

Almost surely, 214104124322024 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 14104124322024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19303436203200).

14104124322024 is an abundant number, since it is smaller than the sum of its proper divisors (24502748084376).

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

14104124322024 is a wasteful number, since it uses less digits than its factorization.

14104124322024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126355 (or 126351 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14104124322024 its reverse (42022342140141), we get a palindrome (56126466462165).

The spelling of 14104124322024 in words is "fourteen trillion, one hundred four billion, one hundred twenty-four million, three hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 353 706 1059 1213 1412 2118 2426 2824 3639 3883 4236 4852 7278 7766 8472 9704 11649 13343 14556 15532 23298 26686 29112 31064 40029 46596 53372 80058 93192 106744 124769 160116 249538 320232 374307 428189 499076 748614 856378 998152 1284567 1372459 1497228 1712756 2569134 2744918 2994456 3425512 4117377 4710079 5138268 5489836 8234754 9420158 10276536 10979672 14130237 16469508 18840316 28260474 32939016 37680632 44043457 56520948 88086914 113041896 132130371 151344797 176173828 264260742 302689594 352347656 454034391 484478027 528521484 605379188 908068782 968956054 1057042968 1210758376 1453434081 1664792767 1816137564 1937912108 2906868162 3329585534 3632275128 3875824216 4994378301 5813736324 6659171068 9988756602 11627472648 13318342136 19977513204 39955026408 53424713341 106849426682 160274140023 213698853364 320548280046 427397706728 587671846751 641096560092 1175343693502 1282193120184 1763015540253 2350687387004 3526031080506 4701374774008 7052062161012 14104124322024