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239234112540 = 2232553162715413
BaseRepresentation
bin1101111011001101110…
…1101101110000011100
3211212111122012002220200
43132303131231300130
512404422413100130
6301522545143500
723166305255523
oct3366335556034
9755448162820
10239234112540
11925054686a5
123a44702ab90
1319737803697
14b816a834ba
156352ac1760
hex37b376dc1c

239234112540 has 144 divisors (see below), whose sum is σ = 739871260128. Its totient is φ = 62549540352.

The previous prime is 239234112527. The next prime is 239234112541. The reversal of 239234112540 is 45211432932.

239234112540 is a `hidden beast` number, since 2 + 392 + 3 + 4 + 11 + 254 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 239234112495 and 239234112504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239234112541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15513874 + ... + 15529286.

It is an arithmetic number, because the mean of its divisors is an integer number (5137994862).

Almost surely, 2239234112540 is an apocalyptic number.

239234112540 is a gapful number since it is divisible by the number (20) 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 239234112540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369935630064).

239234112540 is an abundant number, since it is smaller than the sum of its proper divisors (500637147588).

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

239234112540 is a wasteful number, since it uses less digits than its factorization.

239234112540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17108 (or 17103 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 239234112540 in words is "two hundred thirty-nine billion, two hundred thirty-four million, one hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1627 1908 2385 3180 3254 4770 4881 6508 8135 9540 9762 14643 15413 16270 19524 24405 29286 30826 32540 46239 48810 58572 61652 73215 77065 86231 92478 97620 138717 146430 154130 172462 184956 231195 258693 277434 292860 308260 344924 431155 462390 517386 554868 693585 776079 816889 862310 924780 1034772 1293465 1387170 1552158 1633778 1724620 2450667 2586930 2774340 3104316 3267556 3880395 4084445 4901334 5173860 7352001 7760790 8168890 9802668 12253335 14704002 15521580 16337780 24506670 25076951 29408004 36760005 49013340 50153902 73520010 75230853 100307804 125384755 147040020 150461706 225692559 250769510 300923412 376154265 451385118 501539020 752308530 902770236 1128462795 1329078403 1504617060 2256925590 2658156806 3987235209 4513851180 5316313612 6645392015 7974470418 11961705627 13290784030 15948940836 19936176045 23923411254 26581568060 39872352090 47846822508 59808528135 79744704180 119617056270 239234112540