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234232767232432 = 2417101118718313923
BaseRepresentation
bin110101010000100010010000…
…111000101011100110110000
31010201100102201021122002010021
4311100202100320223212300
5221200132201402414212
62150101014152213224
7100223521220605063
oct6520422070534660
91121312637562107
10234232767232432
11686a7616737951
122232ba6799a214
13a0910942a4447
1441bacd81708da
151c12de9cd7307
hexd50890e2b9b0

234232767232432 has 160 divisors (see below), whose sum is σ = 486077232351744. Its totient is φ = 108956548608000.

The previous prime is 234232767232391. The next prime is 234232767232489.

It is a happy number.

234232767232432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 234232767232432.

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, 59707560423 + ... + 59707564345.

Almost surely, 2234232767232432 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 234232767232432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243038616175872).

234232767232432 is an abundant number, since it is smaller than the sum of its proper divisors (251844465119312).

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

234232767232432 is a wasteful number, since it uses less digits than its factorization.

234232767232432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7067 (or 7061 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 52.

The spelling of 234232767232432 in words is "two hundred thirty-four trillion, two hundred thirty-two billion, seven hundred sixty-seven million, two hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 404 808 1187 1616 1717 1831 2374 3434 3662 3923 4748 6868 7324 7846 9496 13736 14648 15692 18992 20179 27472 29296 31127 31384 40358 62254 62768 66691 80716 119887 124508 133382 161432 184931 239774 249016 266764 322864 369862 396223 479548 498032 533528 739724 792446 959096 1067056 1479448 1584892 1918192 2038079 2173397 2958896 3143827 3169784 4076158 4346794 4656601 6287654 6339568 6735791 7183013 8152316 8693588 9313202 12575308 13471582 14366026 16304632 17387176 18626404 25150616 26943164 28732052 32609264 34774352 36947749 37252808 50301232 53886328 57464104 73895498 74505616 79162217 107772656 114928208 122111221 147790996 158324434 219513097 244222442 295581992 316648868 439026194 470316701 488444884 591163984 633297736 725484313 878052388 940633402 976889768 1266595472 1450968626 1756104776 1881266804 1953779536 2901937252 3512209552 3731722649 3762533608 5803874504 7463445298 7525067216 7995383917 8526236431 11607749008 12333233321 14926890596 15990767834 17052472862 24666466642 29853781192 31981535668 34104945724 49332933284 59707562384 63963071336 68209891448 98665866568 127926142672 136419782896 144946019327 197331733136 289892038654 579784077308 861149879531 1159568154616 1722299759062 2319136309232 3444599518124 6889199036248 13778398072496 14639547952027 29279095904054 58558191808108 117116383616216 234232767232432