Search a number
-
+
317904540700 = 2252171372236121
BaseRepresentation
bin1001010000001001001…
…01100101010000011100
31010101120022110221020011
410220010211211100130
520202032030300300
6402013205333004
731652654003425
oct4500445452034
91111508427204
10317904540700
1111290590977a
1251741707164
1323c943483a6
141155b00064c
1584094aceba
hex4a0496541c

317904540700 has 144 divisors (see below), whose sum is σ = 739184189184. Its totient is φ = 118256025600.

The previous prime is 317904540691. The next prime is 317904540743. The reversal of 317904540700 is 7045409713.

It is a congruent number.

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, 51933640 + ... + 51939760.

It is an arithmetic number, because the mean of its divisors is an integer number (5133223536).

Almost surely, 2317904540700 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 317904540700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369592094592).

317904540700 is an abundant number, since it is smaller than the sum of its proper divisors (421279648484).

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

317904540700 is a wasteful number, since it uses less digits than its factorization.

317904540700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 317904540700 in words is "three hundred seventeen billion, nine hundred four million, five hundred forty thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 137 170 223 274 340 425 446 548 685 850 892 1115 1370 1700 2230 2329 2740 3425 3791 4460 4658 5575 6121 6850 7582 9316 11150 11645 12242 13700 15164 18955 22300 23290 24484 30551 30605 37910 46580 58225 61102 61210 75820 94775 104057 116450 122204 122420 152755 153025 189550 208114 232900 305510 306050 379100 416228 519367 520285 611020 612100 763775 838577 1038734 1040570 1364983 1527550 1677154 2077468 2081140 2596835 2601425 2729966 3055100 3354308 4192885 5193670 5202850 5459932 6824915 8385770 10387340 10405700 12984175 13649830 14255809 16771540 20964425 23204711 25968350 27299660 28511618 34124575 41928850 46409422 51936700 57023236 68249150 71279045 83857700 92818844 116023555 136498300 142558090 187002671 232047110 285116180 356395225 374005342 464094220 580117775 712790450 748010684 935013355 1160235550 1425580900 1870026710 2320471100 3179045407 3740053420 4675066775 6358090814 9350133550 12716181628 15895227035 18700267100 31790454070 63580908140 79476135175 158952270350 317904540700