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34133431250 = 2557379947
BaseRepresentation
bin11111110010100000…
…101101001111010010
310021002211001222002102
4133302200231033102
51024401124300000
623403005520402
72315600243552
oct376240551722
9107084058072
1034133431250
1113526483116
126747273102
1332ac833cc9
14191b3b3162
15d4b9593d5
hex7f282d3d2

34133431250 has 96 divisors (see below), whose sum is σ = 65763290880. Its totient is φ = 13281840000.

The previous prime is 34133431231. The next prime is 34133431289. The reversal of 34133431250 is 5213433143.

It is a super-2 number, since 2×341334312502 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36043277 + ... + 36044223.

It is an arithmetic number, because the mean of its divisors is an integer number (685034280).

Almost surely, 234133431250 is an apocalyptic number.

34133431250 is a deficient number, since it is larger than the sum of its proper divisors (31629859630).

34133431250 is an frugal number, since it uses more digits than its factorization.

34133431250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 34133431250 its reverse (5213433143), we get a palindrome (39346864393).

The spelling of 34133431250 in words is "thirty-four billion, one hundred thirty-three million, four hundred thirty-one thousand, two hundred fifty".

Divisors: 1 2 5 10 25 50 73 79 125 146 158 250 365 395 625 730 790 947 1250 1825 1894 1975 3125 3650 3950 4735 5767 6250 9125 9470 9875 11534 18250 19750 23675 28835 45625 47350 49375 57670 69131 74813 91250 98750 118375 138262 144175 149626 228125 236750 246875 288350 345655 374065 456250 493750 591875 691310 720875 748130 1183750 1441750 1728275 1870325 2959375 3456550 3604375 3740650 5461349 5918750 7208750 8641375 9351625 10922698 17282750 18021875 18703250 27306745 36043750 43206875 46758125 54613490 86413750 93516250 136533725 216034375 233790625 273067450 432068750 467581250 682668625 1365337250 3413343125 6826686250 17066715625 34133431250