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61142031465300 = 22335237612032347
BaseRepresentation
bin11011110011011101111010…
…00100001111101101010100
322000111010021022001221201000
431321232331010033231110
531003222340023342200
6334012132252103300
715610236352266222
oct1571567504175524
9260433238057630
1061142031465300
111853320a87a085
126a3589a764b30
13281689054c296
14111540c0d7b12
157106a0566300
hex379bbd10fb54

61142031465300 has 144 divisors (see below), whose sum is σ = 201872749664320. Its totient is φ = 15863878408320.

The previous prime is 61142031465299. The next prime is 61142031465331. The reversal of 61142031465300 is 356413024116.

61142031465300 is a `hidden beast` number, since 6 + 1 + 1 + 4 + 203 + 146 + 5 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 305916274 + ... + 306116073.

Almost surely, 261142031465300 is an apocalyptic number.

61142031465300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61142031465300 is an abundant number, since it is smaller than the sum of its proper divisors (140730718199020).

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

61142031465300 is a wasteful number, since it uses less digits than its factorization.

61142031465300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612032407 (or 612032394 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 61142031465300 its reverse (356413024116), we get a palindrome (61498444489416).

The spelling of 61142031465300 in words is "sixty-one trillion, one hundred forty-two billion, thirty-one million, four hundred sixty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 37 45 50 54 60 74 75 90 100 108 111 135 148 150 180 185 222 225 270 300 333 370 444 450 540 555 666 675 740 900 925 999 1110 1332 1350 1665 1850 1998 2220 2700 2775 3330 3700 3996 4995 5550 6660 8325 9990 11100 16650 19980 24975 33300 49950 99900 612032347 1224064694 1836097041 2448129388 3060161735 3672194082 5508291123 6120323470 7344388164 9180485205 11016582246 12240646940 15300808675 16524873369 18360970410 22033164492 22645196839 27541455615 30601617350 33049746738 36721940820 45290393678 45902426025 55082911230 61203234700 66099493476 67935590517 82624366845 90580787356 91804852050 110165822460 113225984195 135871181034 137707278075 165248733690 183609704100 203806771551 226451968390 271742362068 275414556150 330497467380 339677952585 407613543102 413121834225 452903936780 550829112300 566129920975 611420314653 679355905170 815227086204 826243668450 1019033857755 1132259841950 1222840629306 1358711810340 1652487336900 1698389762925 2038067715510 2264519683900 2445681258612 3057101573265 3396779525850 4076135431020 5095169288775 6114203146530 6793559051700 10190338577550 12228406293060 15285507866325 20380677155100 30571015732650 61142031465300