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43112869072 = 24713314123297
BaseRepresentation
bin101000001001101110…
…100010110011010000
311010021121110200002121
4220021232202303100
51201243343302242
631450014224024
73054243224560
oct501156426320
9133247420077
1043112869072
11173140aa709
1284324b5014
1340b0c65020
14212db94da0
1511c4e23667
hexa09ba2cd0

43112869072 has 160 divisors (see below), whose sum is σ = 108717041664. Its totient is φ = 16102195200.

The previous prime is 43112869067. The next prime is 43112869099. The reversal of 43112869072 is 27096821134.

It is a super-3 number, since 3×431128690723 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1838928 + ... + 1862224.

Almost surely, 243112869072 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 43112869072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54358520832).

43112869072 is an abundant number, since it is smaller than the sum of its proper divisors (65604172592).

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

43112869072 is a wasteful number, since it uses less digits than its factorization.

43112869072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23397 (or 23391 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 43112869072 in words is "forty-three billion, one hundred twelve million, eight hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 41 52 56 62 82 91 104 112 124 164 182 208 217 248 287 328 364 403 434 496 533 574 656 728 806 868 1066 1148 1271 1456 1612 1736 2132 2296 2542 2821 3224 3472 3731 4264 4592 5084 5642 6448 7462 8528 8897 10168 11284 14924 16523 17794 20336 22568 23297 29848 33046 35588 45136 46594 59696 66092 71176 93188 115661 132184 142352 163079 186376 231322 264368 302861 326158 372752 462644 605722 652316 722207 925288 955177 1211444 1304632 1444414 1850576 1910354 2120027 2422888 2609264 2888828 3820708 4240054 4845776 5055449 5777656 6686239 7641416 8480108 9388691 10110898 11555312 12417301 13372478 15282832 16960216 18777382 20221796 24834602 26744956 29610487 33920432 37554764 40443592 49669204 53489912 59220974 65720837 75109528 80887184 86921107 99338408 106979824 118441948 131441674 150219056 173842214 198676816 207273409 236883896 262883348 347684428 384936331 414546818 473767792 525766696 695368856 769872662 829093636 1051533392 1390737712 1539745324 1658187272 2694554317 3079490648 3316374544 5389108634 6158981296 10778217268 21556434536 43112869072