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10010413144 = 2317241305419
BaseRepresentation
bin10010101001010101…
…01100100001011000
3221211122100200021101
421110222230201120
5131000131210034
64333153521144
7503032051654
oct112452544130
927748320241
1010010413144
114277687616
121b345731b4
13c36bc50b4
146ad6b3a64
153d8c68514
hex254aac858

10010413144 has 32 divisors (see below), whose sum is σ = 19956142800. Its totient is φ = 4691220480.

The previous prime is 10010413139. The next prime is 10010413181. The reversal of 10010413144 is 44131401001.

It is a congruent number.

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, 119934 + ... + 185485.

Almost surely, 210010413144 is an apocalyptic number.

It is an amenable number.

10010413144 is a deficient number, since it is larger than the sum of its proper divisors (9945729656).

10010413144 is a wasteful number, since it uses less digits than its factorization.

10010413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305683 (or 305679 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10010413144 its reverse (44131401001), we get a palindrome (54141814145).

It can be divided in two parts, 100104131 and 44, that added together give a triangular number (100104175 = T14149).

The spelling of 10010413144 in words is "ten billion, ten million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 34 68 136 241 482 964 1928 4097 8194 16388 32776 305419 610838 1221676 2443352 5192123 10384246 20768492 41536984 73605979 147211958 294423916 588847832 1251301643 2502603286 5005206572 10010413144