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10145025342 = 2323152334763
BaseRepresentation
bin10010111001011000…
…01100110100111110
3222012000122200111100
421130230030310332
5131234111302332
64354403033530
7506255202234
oct113454146476
928160580440
1010145025342
114336669771
121b7166b8a6
13c58a66c9a
146c3514954
153e59a867c
hex25cb0cd3e

10145025342 has 48 divisors (see below), whose sum is σ = 22733987328. Its totient is φ = 3266237520.

The previous prime is 10145025329. The next prime is 10145025353. The reversal of 10145025342 is 24352054101.

10145025342 is a `hidden beast` number, since 101 + 4 + 502 + 53 + 4 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274453 + ... + 309215.

It is an arithmetic number, because the mean of its divisors is an integer number (473624736).

Almost surely, 210145025342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145025342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11366993664).

10145025342 is an abundant number, since it is smaller than the sum of its proper divisors (12588961986).

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

10145025342 is a wasteful number, since it uses less digits than its factorization.

10145025342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35325 (or 35322 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10145025342 its reverse (24352054101), we get a palindrome (34497079443).

The spelling of 10145025342 in words is "ten billion, one hundred forty-five million, twenty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 523 558 1046 1569 3138 4707 9414 16213 32426 34763 48639 69526 97278 104289 145917 208578 291834 312867 625734 1077653 2155306 3232959 6465918 9698877 18181049 19397754 36362098 54543147 109086294 163629441 327258882 563612519 1127225038 1690837557 3381675114 5072512671 10145025342