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40620400188 = 223234127712959
BaseRepresentation
bin100101110101001010…
…100001111000111100
310212211220110010120020
4211311022201320330
51131142310301223
630354420052140
72635416463464
oct456512417074
9125756403506
1040620400188
111625517a975
127a57834050
133aa4771774
141d74b44ba4
1510cb1d41e3
hex9752a1e3c

40620400188 has 96 divisors (see below), whose sum is σ = 101687685120. Its totient is φ = 12588956160.

The previous prime is 40620400187. The next prime is 40620400193. The reversal of 40620400188 is 88100402604.

40620400188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×406204001882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40620400187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3128053 + ... + 3141011.

It is an arithmetic number, because the mean of its divisors is an integer number (1059246720).

Almost surely, 240620400188 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 40620400188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50843842560).

40620400188 is an abundant number, since it is smaller than the sum of its proper divisors (61067284932).

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

40620400188 is a wasteful number, since it uses less digits than its factorization.

40620400188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13307 (or 13305 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 40620400188 in words is "forty billion, six hundred twenty million, four hundred thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 277 492 554 831 943 1108 1662 1886 2829 3324 3772 5658 6371 11316 11357 12742 12959 19113 22714 25484 25918 34071 38226 38877 45428 51836 68142 76452 77754 136284 155508 261211 298057 522422 531319 596114 783633 894171 1044844 1062638 1192228 1567266 1593957 1788342 2125276 3134532 3187914 3576684 3589643 6375828 7179286 10768929 12220337 14358572 21537858 24440674 36661011 43075716 48881348 73322022 82561789 146644044 147175363 165123578 247685367 294350726 330247156 441526089 495370734 588701452 883052178 990741468 1766104356 3385033349 6770066698 10155100047 13540133396 20310200094 40620400188