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385401104840 = 235349180115329
BaseRepresentation
bin1011001101110111011…
…00100010100111001000
31100211210021011122201002
411212323230202213020
522303300140323330
6453014551114132
736562412224313
oct5467354424710
91324707148632
10385401104840
111394a1970394
126283a072948
132a45cc2c73b
141492134d97a
15a059e14e45
hex59bbb229c8

385401104840 has 64 divisors (see below), whose sum is σ = 870176790000. Its totient is φ = 153623347200.

The previous prime is 385401104833. The next prime is 385401104857. The reversal of 385401104840 is 48401104583.

It can be written as a sum of positive squares in 8 ways, for example, as 55693168036 + 329707936804 = 235994^2 + 574202^2 .

It is a super-2 number, since 2×3854011048402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 385401104794 and 385401104803.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25134296 + ... + 25149624.

Almost surely, 2385401104840 is an apocalyptic number.

It is an amenable number.

385401104840 is an abundant number, since it is smaller than the sum of its proper divisors (484775685160).

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

385401104840 is a wasteful number, since it uses less digits than its factorization.

385401104840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17490 (or 17486 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The spelling of 385401104840 in words is "three hundred eighty-five billion, four hundred one million, one hundred four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 349 698 1396 1745 1801 2792 3490 3602 6980 7204 9005 13960 14408 15329 18010 30658 36020 61316 72040 76645 122632 153290 306580 613160 628549 1257098 2514196 3142745 5028392 5349821 6285490 10699642 12570980 21399284 25141960 26749105 27607529 42798568 53498210 55215058 106996420 110430116 138037645 213992840 220860232 276075290 552150580 1104301160 9635027621 19270055242 38540110484 48175138105 77080220968 96350276210 192700552420 385401104840