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114254030452131 = 322310332797191033
BaseRepresentation
bin11001111110100111010110…
…111001100011010110100011
3112222112120121211100112002100
4121332213112321203112203
5104433414223243432011
61042555324344021443
733031403245660023
oct3176472671432643
9488476554315070
10114254030452131
113344a953659389
1210993243761883
134b9a15518019b
14202dcd3091a83
15d32022274d56
hex67e9d6e635a3

114254030452131 has 48 divisors (see below), whose sum is σ = 172438212488256. Its totient is φ = 72760708297728.

The previous prime is 114254030452129. The next prime is 114254030452213. The reversal of 114254030452131 is 131254030452411.

114254030452131 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 5 + 40 + 30 + 452 + 131 = 666.

It is not a de Polignac number, because 114254030452131 - 21 = 114254030452129 is a prime.

It is a super-2 number, since 2×1142540304521312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114254030452531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597989791 + ... + 598180823.

It is an arithmetic number, because the mean of its divisors is an integer number (3592462760172).

Almost surely, 2114254030452131 is an apocalyptic number.

114254030452131 is a deficient number, since it is larger than the sum of its proper divisors (58184182036125).

114254030452131 is a wasteful number, since it uses less digits than its factorization.

114254030452131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194892 (or 194889 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 114254030452131 in words is "one hundred fourteen trillion, two hundred fifty-four billion, thirty million, four hundred fifty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 23 69 207 1033 2797 3099 8391 9297 23759 25173 64331 71277 191033 192993 213831 573099 578979 1719297 2889301 4393759 8667903 13181277 26003709 39543831 66453923 197337089 199361769 534319301 592011267 598085307 1602957903 1776033801 4538753047 4808873709 12289343923 13616259141 36868031769 40848777423 110604095307 551951837933 1655855513799 4967566541397 12694892272459 38084676817377 114254030452131