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332442344116014 = 2311731274571188857
BaseRepresentation
bin100101110010110101100001…
…1110101000100111100101110
31121121002011210112222112110020
41023211223003311010330232
5322033213410043203024
63135013523214023010
7130011111124500546
oct11345530365047456
91547064715875406
10332442344116014
1196a21008554860
12313516784a7a66
13113662423192c2
145c1441c476326
1528678c56cd979
hex12e5ac3d44f2e

332442344116014 has 128 divisors (see below), whose sum is σ = 742676434993152. Its totient is φ = 98361950883840.

The previous prime is 332442344116009. The next prime is 332442344116019. The reversal of 332442344116014 is 410611443244233.

It is an interprime number because it is at equal distance from previous prime (332442344116009) and next prime (332442344116019).

It is a super-2 number, since 2×3324423441160142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332442344116019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279037474 + ... + 280226330.

It is an arithmetic number, because the mean of its divisors is an integer number (5802159648384).

Almost surely, 2332442344116014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332442344116014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371338217496576).

332442344116014 is an abundant number, since it is smaller than the sum of its proper divisors (410234090877138).

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

332442344116014 is a wasteful number, since it uses less digits than its factorization.

332442344116014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189530.

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 332442344116014 in words is "three hundred thirty-two trillion, four hundred forty-two billion, three hundred forty-four million, one hundred sixteen thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 73 127 146 219 254 381 438 457 762 803 914 1371 1397 1606 2409 2742 2794 4191 4818 5027 8382 9271 10054 15081 18542 27813 30162 33361 55626 58039 66722 100083 101981 116078 174117 200166 203962 305943 348234 366971 611886 638429 733942 1100913 1188857 1276858 1915287 2201826 2377714 3566571 3830574 4236847 7133142 8473694 12710541 13077427 25421082 26154854 39232281 46605317 78464562 86786561 93210634 139815951 150984839 173573122 260359683 279631902 301969678 452954517 520719366 543307649 905909034 954652171 1086615298 1629922947 1660833229 1909304342 2863956513 3259845894 3321666458 4982499687 5727913026 5976384139 9964999374 11021893247 11952768278 17929152417 22043786494 33065679741 35858304834 39661458377 66131359482 69000071423 79322916754 118984375131 121240825717 138000142846 207000214269 237968750262 242481651434 363722477151 414000428538 436276042147 727444954302 759000785653 872552084294 1308828126441 1518001571306 2277002356959 2617656252882 4554004713918 5037005213879 10074010427758 15111015641637 30222031283274 55407057352669 110814114705338 166221172058007 332442344116014