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32114022290 = 257247229669
BaseRepresentation
bin11101111010001001…
…010001011110010010
310001220002012100202222
4131322021101132102
51011232142203130
622430350541042
72214546454100
oct357211213622
9101802170688
1032114022290
111268a58a299
126282b07782
13304a35256c
1417a9104c70
15c7e510ce5
hex77a251792

32114022290 has 72 divisors (see below), whose sum is σ = 68706284940. Its totient is φ = 10775892288.

The previous prime is 32114022289. The next prime is 32114022359. The reversal of 32114022290 is 9222041123.

It can be written as a sum of positive squares in 2 ways, for example, as 27385947169 + 4728075121 = 165487^2 + 68761^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1067576 + ... + 1097244.

Almost surely, 232114022290 is an apocalyptic number.

32114022290 is an abundant number, since it is smaller than the sum of its proper divisors (36592262650).

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

32114022290 is a wasteful number, since it uses less digits than its factorization.

32114022290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29784 (or 29730 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 32114022290 in words is "thirty-two billion, one hundred fourteen million, twenty-two thousand, two hundred ninety".

Divisors: 1 2 5 7 10 14 35 47 49 70 94 98 235 245 329 470 490 658 1645 2209 2303 3290 4418 4606 11045 11515 15463 22090 23030 29669 30926 59338 77315 108241 148345 154630 207683 216482 296690 415366 541205 1038415 1082410 1394443 1453781 2076830 2788886 2907562 6972215 7268905 9761101 13944430 14537810 19522202 48805505 65538821 68327707 97611010 131077642 136655414 327694105 341638535 458771747 655388210 683277070 917543494 2293858735 3211402229 4587717470 6422804458 16057011145 32114022290