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242132313192 = 233711131023979
BaseRepresentation
bin1110000110000000110…
…1011110010001101000
3212010222121122221210120
43201200031132101220
512431341333010232
6303122315443240
723331156463230
oct3414015362150
9763877587716
10242132313192
1193762418750
123ab15756520
1319aaa094403
14ba0d94acc0
15647225792c
hex386035e468

242132313192 has 64 divisors (see below), whose sum is σ = 754698124800. Its totient is φ = 62891509440.

The previous prime is 242132313119. The next prime is 242132313193. The reversal of 242132313192 is 291313231242.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (242132313193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65510142 + ... + 65513837.

It is an arithmetic number, because the mean of its divisors is an integer number (11792158200).

Almost surely, 2242132313192 is an apocalyptic number.

242132313192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242132313192 is an abundant number, since it is smaller than the sum of its proper divisors (512565811608).

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

242132313192 is a wasteful number, since it uses less digits than its factorization.

242132313192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131024006 (or 131024002 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The spelling of 242132313192 in words is "two hundred forty-two billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 131023979 262047958 393071937 524095916 786143874 917167853 1048191832 1441263769 1572287748 1834335706 2751503559 2882527538 3144575496 3668671412 4323791307 5503007118 5765055076 7337342824 8647582614 10088846383 11006014236 11530110152 17295165228 20177692766 22012028472 30266539149 34590330456 40355385532 60533078298 80710771064 121066156596 242132313192