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40555135782 = 23372916322697
BaseRepresentation
bin100101110001010001…
…100100001100100110
310212200100122100122000
4211301101210030212
51131024103321112
630344125150130
72633664652320
oct456121441446
9125610570560
1040555135782
1116221353847
127a399bb346
133a940a0585
141d6a1d6610
1510c55e17dc
hex971464326

40555135782 has 128 divisors (see below), whose sum is σ = 107207193600. Its totient is φ = 11118498048.

The previous prime is 40555135781. The next prime is 40555135801. The reversal of 40555135782 is 28753155504.

40555135782 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 513 + 57 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40555135781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1775458 + ... + 1798154.

It is an arithmetic number, because the mean of its divisors is an integer number (837556200).

Almost surely, 240555135782 is an apocalyptic number.

40555135782 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 40555135782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53603596800).

40555135782 is an abundant number, since it is smaller than the sum of its proper divisors (66652057818).

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

40555135782 is a wasteful number, since it uses less digits than its factorization.

40555135782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22907 (or 22901 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 40555135782 in words is "forty billion, five hundred fifty-five million, one hundred thirty-five thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 163 174 189 203 261 326 378 406 489 522 609 783 978 1141 1218 1467 1566 1827 2282 2934 3423 3654 4401 4727 5481 6846 8802 9454 10269 10962 14181 20538 22697 28362 30807 33089 42543 45394 61614 66178 68091 85086 99267 127629 136182 158879 198534 204273 255258 297801 317758 408546 476637 595602 612819 658213 893403 953274 1225638 1316426 1429911 1786806 1974639 2859822 3699611 3949278 4289733 4607491 5923917 7399222 8579466 9214982 11098833 11847834 13822473 17771751 22197666 25897277 27644946 33296499 35543502 41467419 51794554 66592998 77691831 82934838 99889497 107288719 124402257 155383662 199778994 214577438 233075493 248804514 321866157 466150986 643732314 699226479 751021033 965598471 1398452958 1502042066 1931196942 2253063099 2896795413 4506126198 5793590826 6759189297 13518378594 20277567891 40555135782