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402102143214024 = 233114793179779079
BaseRepresentation
bin101101101101101011011001…
…1011010001110000111001000
31221201201120220201120212021210
41123123112303122032013020
5410201020142130322044
63543111101403333120
7150460630646265321
oct13333266332160710
91851646821525253
10402102143214024
1110713861a076a40
123912210a2211a0
131434a0b9630126
147141bc1a53448
1531748ed5971b9
hex16db5b368e1c8

402102143214024 has 64 divisors (see below), whose sum is σ = 1098931650048000. Its totient is φ = 121594751942720.

The previous prime is 402102143213983. The next prime is 402102143214041. The reversal of 402102143214024 is 420412341201204.

It is a super-2 number, since 2×4021021432140242 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 402102143213982 and 402102143214000.

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, 1589763084 + ... + 1590015995.

It is an arithmetic number, because the mean of its divisors is an integer number (17170807032000).

Almost surely, 2402102143214024 is an apocalyptic number.

402102143214024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

402102143214024 is an abundant number, since it is smaller than the sum of its proper divisors (696829506833976).

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

402102143214024 is a wasteful number, since it uses less digits than its factorization.

402102143214024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179779578 (or 3179779574 counting only the distinct ones).

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

Adding to 402102143214024 its reverse (420412341201204), we get a palindrome (822514484415228).

The spelling of 402102143214024 in words is "four hundred two trillion, one hundred two billion, one hundred forty-three million, two hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 479 958 1437 1916 2874 3832 5269 5748 10538 11496 15807 21076 31614 42152 63228 126456 3179779079 6359558158 9539337237 12719116316 19078674474 25438232632 34977569869 38157348948 69955139738 76314697896 104932709607 139910279476 209865419214 279820558952 419730838428 839461676856 1523114178841 3046228357682 4569342536523 6092456715364 9138685073046 12184913430728 16754255967251 18277370146092 33508511934502 36554740292184 50262767901753 67017023869004 100525535803506 134034047738008 201051071607012 402102143214024