Search a number
-
+
310056142526004 = 223742174891117071
BaseRepresentation
bin100011001111111101001001…
…0001111000101011000110100
31111122211002002200020122220110
41012133322102033011120310
5311114424434441313004
63015233454150303020
7122210550152546250
oct10637722217053064
91448732080218813
10310056142526004
118a880087344266
122a936b5a957a70
1310401226a7bb14
14567cb23da5260
1525ca412534589
hex119fe923c5634

310056142526004 has 96 divisors (see below), whose sum is σ = 828798460342272. Its totient is φ = 88375112784000.

The previous prime is 310056142525951. The next prime is 310056142526027. The reversal of 310056142526004 is 400625241650013.

It is a super-2 number, since 2×3100561425260042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2648386789 + ... + 2648503859.

It is an arithmetic number, because the mean of its divisors is an integer number (8633317295232).

Almost surely, 2310056142526004 is an apocalyptic number.

It is an amenable number.

310056142526004 is an abundant number, since it is smaller than the sum of its proper divisors (518742317816268).

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

310056142526004 is a wasteful number, since it uses less digits than its factorization.

310056142526004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192397 (or 192395 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 310056142526004 in words is "three hundred ten trillion, fifty-six billion, one hundred forty-two million, five hundred twenty-six thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 421 842 1263 1684 2526 2947 5052 5894 8841 11788 17682 35364 74891 117071 149782 224673 234142 299564 351213 449346 468284 524237 702426 819497 898692 1048474 1404852 1572711 1638994 2096948 2458491 3145422 3277988 4916982 6290844 9833964 31529111 49286891 63058222 94587333 98573782 126116444 147860673 189174666 197147564 220703777 295721346 345008237 378349332 441407554 591442692 662111331 690016474 882815108 1035024711 1324222662 1380032948 2070049422 2648445324 4140098844 8767564261 17535128522 26302692783 35070257044 52605385566 61372949827 105210771132 122745899654 184118849481 245491799308 368237698962 736475397924 3691144553881 7382289107762 11073433661643 14764578215524 22146867323286 25838011877167 44293734646572 51676023754334 77514035631501 103352047508668 155028071263002 310056142526004