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34140521000 = 2353127268823
BaseRepresentation
bin11111110010111011…
…110000001000101000
310021010022102011101202
4133302323300020220
51024404433133000
623403421503332
72316014432435
oct376273601050
9107108364352
1034140521000
111352a485813
126749711b48
1332b1147021
14191c2dab8c
15d4c3a9dd5
hex7f2ef0228

34140521000 has 64 divisors (see below), whose sum is σ = 80518164480. Its totient is φ = 13548628800.

The previous prime is 34140520957. The next prime is 34140521027. The reversal of 34140521000 is 12504143.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 7412 + ... + 261411.

It is an arithmetic number, because the mean of its divisors is an integer number (1258096320).

Almost surely, 234140521000 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 34140521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40259082240).

34140521000 is an abundant number, since it is smaller than the sum of its proper divisors (46377643480).

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

34140521000 is a wasteful number, since it uses less digits than its factorization.

34140521000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268971 (or 268957 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 34140521000 in words is "thirty-four billion, one hundred forty million, five hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 500 508 635 1000 1016 1270 2540 3175 5080 6350 12700 15875 25400 31750 63500 127000 268823 537646 1075292 1344115 2150584 2688230 5376460 6720575 10752920 13441150 26882300 33602875 34140521 53764600 67205750 68281042 134411500 136562084 170702605 268823000 273124168 341405210 682810420 853513025 1365620840 1707026050 3414052100 4267565125 6828104200 8535130250 17070260500 34140521000