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4104107677341 = 3271271123456767
BaseRepresentation
bin111011101110001111111…
…000010101011010011101
3112112100102022122200011200
4323232033320111122131
51014220203031133331
612421222342510113
7602340420444240
oct73561770253235
915470368580150
104104107677341
1113425a6876531
125634a1435339
1323a02862a989
141028d5b43257
1571b55b395e6
hex3bb8fe1569d

4104107677341 has 48 divisors (see below), whose sum is σ = 6834477072384. Its totient is φ = 2324661226272.

The previous prime is 4104107677333. The next prime is 4104107677349. The reversal of 4104107677341 is 1437767014014.

4104107677341 is a `hidden beast` number, since 410 + 4 + 107 + 67 + 73 + 4 + 1 = 666.

4104107677341 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4104107677333) and next prime (4104107677349).

It is not a de Polignac number, because 4104107677341 - 23 = 4104107677333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104107677349) 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, 8756740 + ... + 9213506.

It is an arithmetic number, because the mean of its divisors is an integer number (142384939008).

Almost surely, 24104107677341 is an apocalyptic number.

It is an amenable number.

4104107677341 is a deficient number, since it is larger than the sum of its proper divisors (2730369395043).

4104107677341 is a wasteful number, since it uses less digits than its factorization.

4104107677341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458030 (or 458027 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 4104107677341 in words is "four trillion, one hundred four billion, one hundred seven million, six hundred seventy-seven thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 63 127 381 889 1123 1143 2667 3369 7861 8001 10107 23583 70749 142621 427863 456767 998347 1283589 1370301 2995041 3197369 4110903 8985123 9592107 28776321 58009409 174028227 406065863 512949341 522084681 1218197589 1538848023 3590645387 3654592767 4616544069 10771936161 32315808483 65144566307 195433698921 456011964149 586301096763 1368035892447 4104107677341