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42444032336532 = 22322379751864011
BaseRepresentation
bin10011010011010010001010…
…11110000110001010010100
312120021121110120221200121100
421221221011132012022110
521030400334234232112
6230134304055150100
711640323455116561
oct1151510536061224
9176247416850540
1042444032336532
111258445a816422
124915b30675330
131a8b5bba53768
14a6a433069868
154d91000db2dc
hex269a45786294

42444032336532 has 144 divisors (see below), whose sum is σ = 113522052833280. Its totient is φ = 13343770440000.

The previous prime is 42444032336477. The next prime is 42444032336581. The reversal of 42444032336532 is 23563323044424.

42444032336532 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 403 + 233 + 6 + 5 + 3 + 2 = 666.

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, 48692407 + ... + 49556417.

It is an arithmetic number, because the mean of its divisors is an integer number (788347589120).

Almost surely, 242444032336532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42444032336532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56761026416640).

42444032336532 is an abundant number, since it is smaller than the sum of its proper divisors (71078020496748).

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

42444032336532 is a wasteful number, since it uses less digits than its factorization.

42444032336532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864874 (or 864869 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 45.

The spelling of 42444032336532 in words is "forty-two trillion, four hundred forty-four billion, thirty-two million, three hundred thirty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 79 92 138 158 207 237 276 316 414 474 711 751 828 948 1422 1502 1817 2253 2844 3004 3634 4506 5451 6759 7268 9012 10902 13518 16353 17273 21804 27036 32706 34546 51819 59329 65412 69092 103638 118658 155457 177987 207276 237316 310914 355974 533961 621828 711948 864011 1067922 1364567 1728022 2135844 2592033 2729134 3456044 4093701 5184066 5458268 7776099 8187402 10368132 12281103 15552198 16374804 19872253 24562206 31104396 39744506 49124412 59616759 68256869 79489012 119233518 136513738 178850277 204770607 238467036 273027476 357700554 409541214 614311821 648872261 715401108 819082428 1228623642 1297744522 1569907987 1946616783 2457247284 2595489044 3139815974 3893233566 4709723961 5839850349 6279631948 7786467132 9419447922 11679700698 14129171883 14924062003 18838895844 23359401396 28258343766 29848124006 44772186009 51260908619 56516687532 59696248012 89544372018 102521817238 134316558027 153782725857 179088744036 205043634476 268633116054 307565451714 461348177571 537266232108 615130903428 922696355142 1179000898237 1845392710284 2358001796474 3537002694711 4716003592948 7074005389422 10611008084133 14148010778844 21222016168266 42444032336532