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138366313205428 = 2271112311795720323
BaseRepresentation
bin11111011101011111101010…
…111100101000111010110100
3200010220200122021022120212201
4133131133222330220322310
5121113443202140033203
61210140335021154244
741100431141455660
oct3735375274507264
9603820567276781
10138366313205428
11400a6907669470
121362839a3bb984
135c28b6c673529
142624d72a918a0
1510ee35a7c4e1d
hex7dd7eaf28eb4

138366313205428 has 96 divisors (see below), whose sum is σ = 302167070650368. Its totient is φ = 53859510403200.

The previous prime is 138366313205411. The next prime is 138366313205447. The reversal of 138366313205428 is 824502313663831.

It is a super-3 number, since 3×1383663132054283 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 6808350475 + ... + 6808370797.

It is an arithmetic number, because the mean of its divisors is an integer number (3147573652608).

Almost surely, 2138366313205428 is an apocalyptic number.

It is an amenable number.

138366313205428 is an abundant number, since it is smaller than the sum of its proper divisors (163800757444940).

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

138366313205428 is a wasteful number, since it uses less digits than its factorization.

138366313205428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39533 (or 39531 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 55.

The spelling of 138366313205428 in words is "one hundred thirty-eight trillion, three hundred sixty-six billion, three hundred thirteen million, two hundred five thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 1231 2462 4924 8617 13541 17234 17957 20323 27082 34468 35914 40646 54164 71828 81292 94787 125699 142261 189574 197527 223553 251398 284522 379148 395054 447106 502796 569044 790108 894212 1382689 1564871 2765378 3129742 5530756 6259484 22105067 25017613 44210134 50035226 88420268 100070452 154735469 175123291 243155737 275193743 309470938 350246582 364940111 486311474 550387486 618941876 700493164 729880222 972622948 1100774972 1459760444 1702090159 1926356201 2554580777 3404180318 3852712402 4014341221 5109161554 6808360636 7705424804 8028682442 10218323108 16057364884 28100388547 56200777094 112401554188 449241276641 898482553282 1796965106564 3144688936487 4941654043051 6289377872974 9883308086102 12578755745948 19766616172204 34591578301357 69183156602714 138366313205428