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230032906944 = 2631996020543
BaseRepresentation
bin1101011000111100000…
…1111001101011000000
3210222202101111102201020
43112033001321223000
512232101411010234
6253401535305440
722422300306321
oct3261701715300
9728671442636
10230032906944
1189613640755
12386b967b280
13188cc466429
14b1c2a54448
155eb4ded549
hex358f079ac0

230032906944 has 56 divisors (see below), whose sum is σ = 611687270400. Its totient is φ = 76292308224.

The previous prime is 230032906933. The next prime is 230032906949. The reversal of 230032906944 is 449609230032.

It is a junction number, because it is equal to n+sod(n) for n = 230032906896 and 230032906905.

It is not an unprimeable number, because it can be changed into a prime (230032906949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2972064 + ... + 3048479.

Almost surely, 2230032906944 is an apocalyptic number.

230032906944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230032906944 is an abundant number, since it is smaller than the sum of its proper divisors (381654363456).

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

230032906944 is a wasteful number, since it uses less digits than its factorization.

230032906944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6020757 (or 6020747 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 230032906944 in words is "two hundred thirty billion, thirty-two million, nine hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 199 398 597 796 1194 1592 2388 3184 4776 6368 9552 12736 19104 38208 6020543 12041086 18061629 24082172 36123258 48164344 72246516 96328688 144493032 192657376 288986064 385314752 577972128 1155944256 1198088057 2396176114 3594264171 4792352228 7188528342 9584704456 14377056684 19169408912 28754113368 38338817824 57508226736 76677635648 115016453472 230032906944