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42625579440 = 24351019711811
BaseRepresentation
bin100111101100101011…
…101011100110110000
311002000122112210101110
4213230223223212300
51144244122020230
631325410033320
73036205306233
oct475453534660
9132018483343
1042625579440
1117094034804
128317278840
134034010372
1420c518b41a
15119726b4b0
hex9ecaeb9b0

42625579440 has 160 divisors (see below), whose sum is σ = 133658802432. Its totient is φ = 11236480000.

The previous prime is 42625579429. The next prime is 42625579457. The reversal of 42625579440 is 4497552624.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42625579440.

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, 23536135 + ... + 23537945.

Almost surely, 242625579440 is an apocalyptic number.

42625579440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42625579440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66829401216).

42625579440 is an abundant number, since it is smaller than the sum of its proper divisors (91033222992).

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

42625579440 is a wasteful number, since it uses less digits than its factorization.

42625579440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 42625579440 in words is "forty-two billion, six hundred twenty-five million, five hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 971 1010 1212 1515 1616 1811 1942 2020 2424 2913 3030 3622 3884 4040 4848 4855 5433 5826 6060 7244 7768 8080 9055 9710 10866 11652 12120 14488 14565 15536 18110 19420 21732 23304 24240 27165 28976 29130 36220 38840 43464 46608 54330 58260 72440 77680 86928 98071 108660 116520 144880 182911 196142 217320 233040 294213 365822 392284 434640 490355 548733 588426 731644 784568 914555 980710 1097466 1176852 1463288 1471065 1569136 1758481 1829110 1961420 2194932 2353704 2743665 2926576 2942130 3516962 3658220 3922840 4389864 4707408 5275443 5487330 5884260 7033924 7316440 7845680 8779728 8792405 10550886 10974660 11768520 14067848 14632880 17584810 21101772 21949320 23537040 26377215 28135696 35169620 42203544 43898640 52754430 70339240 84407088 105508860 140678480 177606581 211017720 355213162 422035440 532819743 710426324 888032905 1065639486 1420852648 1776065810 2131278972 2664098715 2841705296 3552131620 4262557944 5328197430 7104263240 8525115888 10656394860 14208526480 21312789720 42625579440