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4100434312 = 23131071572347
BaseRepresentation
bin1111010001100111…
…1010100110001000
3101120202200122102111
43310121322212020
531344202344222
61514514312104
7203420054662
oct36431724610
911522618374
104100434312
111814651a97
12965288634
13504687ac0
142ac819532
1518eeb3777
hexf467a988

4100434312 has 64 divisors (see below), whose sum is σ = 8413917120. Its totient is φ = 1862085888.

The previous prime is 4100434279. The next prime is 4100434337. The reversal of 4100434312 is 2134340014.

4100434312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1745923 + ... + 1748269.

It is an arithmetic number, because the mean of its divisors is an integer number (131467455).

Almost surely, 24100434312 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 4100434312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206958560).

4100434312 is an abundant number, since it is smaller than the sum of its proper divisors (4313482808).

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

4100434312 is a wasteful number, since it uses less digits than its factorization.

4100434312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4100434312 is about 64034.6336914642. The cubic root of 4100434312 is about 1600.5771761423.

Adding to 4100434312 its reverse (2134340014), we get a palindrome (6234774326).

The spelling of 4100434312 in words is "four billion, one hundred million, four hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 107 157 214 314 428 628 856 1256 1391 2041 2347 2782 4082 4694 5564 8164 9388 11128 16328 16799 18776 30511 33598 61022 67196 122044 134392 218387 244088 251129 368479 436774 502258 736958 873548 1004516 1473916 1747096 2009032 2947832 3264677 4790227 6529354 9580454 13058708 19160908 26117416 38321816 39427253 78854506 157709012 315418024 512554289 1025108578 2050217156 4100434312