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40455054510 = 235135913113421
BaseRepresentation
bin100101101011010011…
…110010010010101110
310212102101022200221020
4211223103302102232
51130322443221020
630330152115010
72631341201223
oct455323622256
9125371280836
1040455054510
111617a907252
127a10395a66
133a7942baa0
141d5abc394a
1510bb922c40
hex96b4f24ae

40455054510 has 128 divisors (see below), whose sum is σ = 107152657920. Its totient is φ = 9713932800.

The previous prime is 40455054509. The next prime is 40455054557. The reversal of 40455054510 is 1545055404.

It is a super-2 number, since 2×404550545102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3007600 + ... + 3021020.

It is an arithmetic number, because the mean of its divisors is an integer number (837130140).

Almost surely, 240455054510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40455054510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53576328960).

40455054510 is an abundant number, since it is smaller than the sum of its proper divisors (66697603410).

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

40455054510 is a wasteful number, since it uses less digits than its factorization.

40455054510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13634.

The product of its (nonzero) digits is 40000, while the sum is 33.

The spelling of 40455054510 in words is "forty billion, four hundred fifty-five million, fifty-four thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 59 65 78 118 130 131 177 195 262 295 354 390 393 590 655 767 786 885 1310 1534 1703 1770 1965 2301 3406 3835 3930 4602 5109 7670 7729 8515 10218 11505 13421 15458 17030 23010 23187 25545 26842 38645 40263 46374 51090 67105 77290 80526 100477 115935 134210 174473 200954 201315 231870 301431 348946 402630 502385 523419 602862 791839 872365 1004770 1046838 1507155 1583678 1744730 1758151 2375517 2617095 3014310 3516302 3959195 4751034 5234190 5274453 7918390 8790755 10293907 10548906 11877585 17581510 20587814 22855963 23755170 26372265 30881721 45711926 51469535 52744530 61763442 68567889 102939070 103730909 114279815 137135778 154408605 207461818 228559630 308817210 311192727 342839445 518654545 622385454 685678890 1037309090 1348501817 1555963635 2697003634 3111927270 4045505451 6742509085 8091010902 13485018170 20227527255 40455054510