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42055237277232 = 24317732392953991
BaseRepresentation
bin10011000111111101111110…
…11110101001011000110000
312111220102220210110021122020
421203332333132221120300
521003013111220332412
6225235524223511440
711600250661464264
oct1143767736513060
9174812823407566
1042055237277232
11124445870798a3
124872705a58580
131a60a3a936b5a
14a556ad0840a4
154cde4726518c
hex263fbf7a9630

42055237277232 has 160 divisors (see below), whose sum is σ = 117097188157440. Its totient is φ = 12958610595840.

The previous prime is 42055237277231. The next prime is 42055237277341. The reversal of 42055237277232 is 23277273255024.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (42055237277231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12759757 + ... + 15713747.

It is an arithmetic number, because the mean of its divisors is an integer number (731857425984).

Almost surely, 242055237277232 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 42055237277232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58548594078720).

42055237277232 is an abundant number, since it is smaller than the sum of its proper divisors (75041950880208).

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

42055237277232 is a wasteful number, since it uses less digits than its factorization.

42055237277232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954331 (or 2954325 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 51.

The spelling of 42055237277232 in words is "forty-two trillion, fifty-five billion, two hundred thirty-seven million, two hundred seventy-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 73 102 136 146 204 219 239 272 292 408 438 478 584 717 816 876 956 1168 1241 1434 1752 1912 2482 2868 3504 3723 3824 4063 4964 5736 7446 8126 9928 11472 12189 14892 16252 17447 19856 24378 29784 32504 34894 48756 52341 59568 65008 69788 97512 104682 139576 195024 209364 279152 296599 418728 593198 837456 889797 1186396 1779594 2372792 2953991 3559188 4745584 5907982 7118376 8861973 11815964 14236752 17723946 23631928 35447892 47263856 50217847 70895784 100435694 141791568 150653541 200871388 215641343 301307082 401742776 431282686 602614164 646924029 706003849 803485552 862565372 1205228328 1293848058 1412007698 1725130744 2118011547 2410456656 2587696116 2824015396 3450261488 3665902831 4236023094 5175392232 5648030792 7331805662 8472046188 10350784464 10997708493 11296061584 12002065433 14663611324 16944092376 21995416986 24004130866 29327222648 33888184752 36006196299 43990833972 48008261732 51538280977 58654445296 72012392598 87981667944 96016523464 103076561954 144024785196 154614842931 175963335888 192033046928 206153123908 288049570392 309229685862 412306247816 576099140784 618459371724 824612495632 876150776609 1236918743448 1752301553218 2473837486896 2628452329827 3504603106436 5256904659654 7009206212872 10513809319308 14018412425744 21027618638616 42055237277232