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42448046039532 = 223372895612
BaseRepresentation
bin10011010011011001101001…
…01101001010000111101100
312120021222211022102221001000
421221230310231022013230
521030432044241231112
6230140210234520300
711640525103044600
oct1151546455120754
9176258738387030
1042448046039532
111258612a409941
124916870896090
131a8baab462353
14a6a6d4149500
154d928766b7dc
hex269b34b4a1ec

42448046039532 has 108 divisors (see below), whose sum is σ = 128019346036680. Its totient is φ = 12127877737920.

The previous prime is 42448046039527. The next prime is 42448046039551. The reversal of 42448046039532 is 23593064084424.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42448046039532 is a `hidden beast` number, since 4 + 2 + 4 + 48 + 0 + 4 + 60 + 3 + 9 + 532 = 666.

42448046039532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-4 number, since 4×424480460395324 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 473912032 + ... + 474001592.

Almost surely, 242448046039532 is an apocalyptic number.

42448046039532 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42448046039532 is an abundant number, since it is smaller than the sum of its proper divisors (85571299997148).

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

42448046039532 is an frugal number, since it uses more digits than its factorization.

42448046039532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179149 (or 89573 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 42448046039532 in words is "forty-two trillion, four hundred forty-eight billion, forty-six million, thirty-nine thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 89561 179122 268683 358244 537366 626927 806049 1074732 1253854 1612098 1880781 2418147 2507708 3224196 3761562 4388489 4836294 5642343 7523124 8776978 9672588 11284686 13165467 16927029 17553956 22569372 26330934 33854058 39496401 52661868 67708116 78992802 118489203 157985604 236978406 473956812 8021172721 16042345442 24063518163 32084690884 48127036326 56148209047 72190554489 96254072652 112296418094 144381108978 168444627141 216571663467 224592836188 288762217956 336889254282 393037463329 433143326934 505333881423 673778508564 786074926658 866286653868 1010667762846 1179112389987 1516001644269 1572149853316 2021335525692 2358224779974 3032003288538 3537337169961 4716449559948 6064006577076 7074674339922 10612011509883 14149348679844 21224023019766 42448046039532