Search a number
-
+
501414141536 = 25721129070857
BaseRepresentation
bin1110100101111101001…
…11001001111001100000
31202221020102011112201222
413102332213021321200
531203344010012121
61022202501114212
751140336611100
oct7227647117140
91687212145658
10501414141536
11183715235a10
12812166b8968
133838b10b209
141a3a8d77200
15d099d6d0ab
hex74be9c9e60

501414141536 has 72 divisors (see below), whose sum is σ = 1252721412936. Its totient is φ = 195356152320.

The previous prime is 501414141493. The next prime is 501414141559. The reversal of 501414141536 is 635141414105.

It is a super-2 number, since 2×5014141415362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 501414141496 and 501414141505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14518181 + ... + 14552676.

It is an arithmetic number, because the mean of its divisors is an integer number (17398908513).

Almost surely, 2501414141536 is an apocalyptic number.

501414141536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

501414141536 is an abundant number, since it is smaller than the sum of its proper divisors (751307271400).

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

501414141536 is a wasteful number, since it uses less digits than its factorization.

501414141536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29070892 (or 29070877 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 501414141536 in words is "five hundred one billion, four hundred fourteen million, one hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4312 8624 17248 29070857 58141714 116283428 203495999 232566856 319779427 406991998 465133712 639558854 813983996 930267424 1279117708 1424471993 1627967992 2238455989 2558235416 2848943986 3255935984 4476911978 5116470832 5697887972 6511871968 8953823956 10232941664 11395775944 15669191923 17907647912 22791551888 31338383846 35815295824 45583103776 62676767692 71630591648 125353535384 250707070768 501414141536