Search a number
-
+
314652511656642 = 2331371931109213613
BaseRepresentation
bin100011110001011001011111…
…1001011110101101011000010
31112021002111010112200010220210
41013202302333023311223002
5312220231320441003032
63033113211320414550
7123163615364536425
oct10742627713655302
91467074115603823
10314652511656642
1191292420946545
122b359921617456
13106757b2207033
14579b3972819bc
152659c796ee2cc
hex11e2cbf2f5ac2

314652511656642 has 128 divisors (see below), whose sum is σ = 671226728785920. Its totient is φ = 98156798853120.

The previous prime is 314652511656619. The next prime is 314652511656653. The reversal of 314652511656642 is 246656115256413.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1472895828 + ... + 1473109440.

It is an arithmetic number, because the mean of its divisors is an integer number (5243958818640).

Almost surely, 2314652511656642 is an apocalyptic number.

314652511656642 is an abundant number, since it is smaller than the sum of its proper divisors (356574217129278).

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

314652511656642 is a wasteful number, since it uses less digits than its factorization.

314652511656642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214988.

The product of its digits is 31104000, while the sum is 57.

The spelling of 314652511656642 in words is "three hundred fourteen trillion, six hundred fifty-two billion, five hundred eleven million, six hundred fifty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 31 37 62 74 93 111 186 193 222 386 579 1109 1147 1158 2218 2294 3327 3441 5983 6654 6882 7141 11966 14282 17949 21423 34379 35898 41033 42846 68758 82066 103137 123099 206274 213613 214037 221371 246198 427226 428074 442742 640839 642111 664113 1272023 1281678 1284222 1328226 2544046 3816069 6622003 6635147 7632138 7903681 7919369 13244006 13270294 15807362 15838738 19866009 19905441 23711043 23758107 39732018 39810882 41227309 47422086 47516214 82454618 123681927 236896817 245014111 245500439 247363854 473793634 490028222 491000878 710690451 735042333 736501317 1278046579 1421380902 1470084666 1473002634 1525410433 2556093158 3050820866 3834139737 4576231299 7343801327 7668279474 8765182229 9152462598 14687602654 17530364458 22031403981 26295546687 44062807962 45721085681 47287723423 52591093374 91442171362 94575446846 137163257043 141863170269 271720649099 274326514086 283726340538 543441298198 815161947297 1417353656111 1630323894594 1691680170197 2834707312222 3383360340394 4252060968333 5075040510591 8504121936666 10150081021182 52442085276107 104884170552214 157326255828321 314652511656642