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42631132416 = 2833712711813
BaseRepresentation
bin100111101101000000…
…110111010100000000
311002001000222220122020
4213231000313110000
51144302032214131
631330125041440
73036303434535
oct475500672400
9132030886566
1042631132416
1117097187844
1283190b6280
134035205a52
1420c5bd4d8c
1511979b6996
hex9ed037500

42631132416 has 144 divisors (see below), whose sum is σ = 117454977024. Its totient is φ = 13716283392.

The previous prime is 42631132393. The next prime is 42631132433. The reversal of 42631132416 is 61423113624.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3602926 + ... + 3614738.

Almost surely, 242631132416 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 42631132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58727488512).

42631132416 is an abundant number, since it is smaller than the sum of its proper divisors (74823844608).

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

42631132416 is a wasteful number, since it uses less digits than its factorization.

42631132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11996 (or 11982 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The spelling of 42631132416 in words is "forty-two billion, six hundred thirty-one million, one hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 127 128 148 192 222 254 256 296 381 384 444 508 592 762 768 888 1016 1184 1524 1776 2032 2368 3048 3552 4064 4699 4736 6096 7104 8128 9398 9472 11813 12192 14097 14208 16256 18796 23626 24384 28194 28416 32512 35439 37592 47252 48768 56388 70878 75184 94504 97536 112776 141756 150368 189008 225552 283512 300736 378016 437081 451104 567024 601472 756032 874162 902208 1134048 1202944 1311243 1500251 1512064 1748324 1804416 2268096 2622486 3000502 3024128 3496648 3608832 4500753 4536192 5244972 6001004 6993296 9001506 9072384 10489944 12002008 13986592 18003012 20979888 24004016 27973184 36006024 41959776 48008032 55509287 55946368 72012048 83919552 96016064 111018574 111892736 144024096 166527861 167839104 192032128 222037148 288048192 333055722 335678208 384064256 444074296 576096384 666111444 888148592 1152192768 1332222888 1776297184 2664445776 3552594368 5328891552 7105188736 10657783104 14210377472 21315566208 42631132416