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145917317080 = 23571308916633
BaseRepresentation
bin1000011111100101011…
…0011000111111011000
3111221122020011201210001
42013321112120333120
54342314313121310
6151011122302344
713353652505413
oct2077126307730
9457566151701
10145917317080
1156979581037
12243434b79b4
13109b579b452
1470c3476b7a
153be047593a
hex21f9598fd8

145917317080 has 64 divisors (see below), whose sum is σ = 333065908800. Its totient is φ = 57522769920.

The previous prime is 145917317033. The next prime is 145917317129. The reversal of 145917317080 is 80713719541.

It is a self number, because there is not a number n which added to its sum of digits gives 145917317080.

It is a congruent number.

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, 8764444 + ... + 8781076.

It is an arithmetic number, because the mean of its divisors is an integer number (5204154825).

Almost surely, 2145917317080 is an apocalyptic number.

145917317080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145917317080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166532954400).

145917317080 is an abundant number, since it is smaller than the sum of its proper divisors (187148591720).

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

145917317080 is a wasteful number, since it uses less digits than its factorization.

145917317080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19804 (or 19800 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 46.

The spelling of 145917317080 in words is "one hundred forty-five billion, nine hundred seventeen million, three hundred seventeen thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 3089 6178 12356 15445 16633 24712 30890 33266 61780 66532 83165 123560 133064 166330 219319 332660 438638 665320 877276 1096595 1180943 1754552 2193190 2361886 4386380 4723772 5904715 8772760 9447544 11809430 23618860 47237720 51379337 102758674 205517348 256896685 411034696 513793370 1027586740 2055173480 3647932927 7295865854 14591731708 18239664635 29183463416 36479329270 72958658540 145917317080