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10230614144 = 271719247451
BaseRepresentation
bin10011000011100101…
…01100100010000000
3222101222201001020222
421201302230202000
5131423014123034
64411101322212
7511344533252
oct114162544200
928358631228
1010230614144
11437aa07913
121b96266368
13c7070314a
146d0a33cd2
153ed26312e
hex261cac880

10230614144 has 64 divisors (see below), whose sum is σ = 22716093600. Its totient is φ = 4560998400.

The previous prime is 10230614131. The next prime is 10230614197. The reversal of 10230614144 is 44141603201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82382 + ... + 165069.

Almost surely, 210230614144 is an apocalyptic number.

It is an amenable number.

10230614144 is an abundant number, since it is smaller than the sum of its proper divisors (12485479456).

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

10230614144 is a wasteful number, since it uses less digits than its factorization.

10230614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247501 (or 247489 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 10230614144 in words is "ten billion, two hundred thirty million, six hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 272 304 323 544 608 646 1088 1216 1292 2176 2432 2584 5168 10336 20672 41344 247451 494902 989804 1979608 3959216 4206667 4701569 7918432 8413334 9403138 15836864 16826668 18806276 31673728 33653336 37612552 67306672 75225104 79926673 134613344 150450208 159853346 269226688 300900416 319706692 538453376 601800832 639413384 1278826768 2557653536 5115307072 10230614144