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10411324434 = 2327596720903
BaseRepresentation
bin10011011001001000…
…00011010000010010
3222212120202002011200
421230210003100102
5132310244340214
64441034452030
7516000540360
oct115444032022
928776662150
1010411324434
114462a15165
122026894016
13c9bc95404
1470aa34630
1540e05bd09
hex26c903412

10411324434 has 96 divisors (see below), whose sum is σ = 26609955840. Its totient is φ = 2880462816.

The previous prime is 10411324411. The next prime is 10411324447. The reversal of 10411324434 is 43442311401.

10411324434 is a `hidden beast` number, since 1 + 0 + 411 + 3 + 244 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10411324398 and 10411324407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487627 + ... + 508529.

It is an arithmetic number, because the mean of its divisors is an integer number (277187040).

Almost surely, 210411324434 is an apocalyptic number.

10411324434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10411324434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13304977920).

10411324434 is an abundant number, since it is smaller than the sum of its proper divisors (16198631406).

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

10411324434 is a wasteful number, since it uses less digits than its factorization.

10411324434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21044 (or 21041 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10411324434 its reverse (43442311401), we get a palindrome (53853635835).

The spelling of 10411324434 in words is "ten billion, four hundred eleven million, three hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 67 118 126 134 177 201 354 402 413 469 531 603 826 938 1062 1206 1239 1407 2478 2814 3717 3953 4221 7434 7906 8442 11859 20903 23718 27671 35577 41806 55342 62709 71154 83013 125418 146321 166026 188127 249039 292642 376254 438963 498078 877926 1233277 1316889 1400501 2466554 2633778 2801002 3699831 4201503 7399662 8403006 8632939 9803507 11099493 12604509 17265878 19607014 22198986 25209018 25898817 29410521 51797634 58821042 77696451 82629559 88231563 155392902 165259118 176463126 247888677 495777354 578406913 743666031 1156813826 1487332062 1735220739 3470441478 5205662217 10411324434