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43043703712842 = 237311091373220903
BaseRepresentation
bin10011100100101111001001…
…01010110110110001001010
312122101221022201102221010210
421302113210222312301022
521120212001122302332
6231314000550021550
712031543050531210
oct1162274452666112
9178357281387123
1043043703712842
1112795806665098
1249b21a93478b6
131b030085a0781
14a8b47d808cb0
154e99eb193ecc
hex2725e4ab6c4a

43043703712842 has 128 divisors (see below), whose sum is σ = 102566186680320. Its totient is φ = 11783654910720.

The previous prime is 43043703712721. The next prime is 43043703712843. The reversal of 43043703712842 is 24821730734034.

43043703712842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 43043703712791 and 43043703712800.

It is not an unprimeable number, because it can be changed into a prime (43043703712843) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 194742963 + ... + 194963865.

It is an arithmetic number, because the mean of its divisors is an integer number (801298333440).

Almost surely, 243043703712842 is an apocalyptic number.

43043703712842 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 43043703712842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51283093340160).

43043703712842 is an abundant number, since it is smaller than the sum of its proper divisors (59522482967478).

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

43043703712842 is a wasteful number, since it uses less digits than its factorization.

43043703712842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222428.

The product of its (nonzero) digits is 2709504, while the sum is 48.

The spelling of 43043703712842 in words is "forty-three trillion, forty-three billion, seven hundred three million, seven hundred twelve thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 109 186 217 218 327 434 651 654 763 1302 1373 1526 2289 2746 3379 4119 4578 6758 8238 9611 10137 19222 20274 23653 28833 42563 47306 57666 70959 85126 127689 141918 149657 220903 255378 297941 299314 441806 448971 595882 662709 893823 897942 1047599 1325418 1546321 1787646 2095198 3092642 3142797 4638963 4639367 6285594 6847993 9277926 9278734 13695986 13918101 20543979 24078427 27836202 32475569 41087958 47935951 48156854 64951138 72235281 95871902 97426707 143807853 144470562 168548989 194853414 287615706 303299819 337097978 505646967 606599638 746431237 909899457 1011293934 1492862474 1819798914 2123098733 2239293711 4246197466 4478587422 5225018659 6369296199 9402294389 10450037318 12738592398 15675055977 18804588778 28206883167 31350111954 33059680271 56413766334 65816060723 66119360542 99179040813 131632121446 197448182169 198358081626 231417761897 394896364338 462835523794 694253285691 1024850088401 1388506571382 2049700176802 3074550265203 6149100530406 7173950618807 14347901237614 21521851856421 43043703712842