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3145385056 = 251123443877
BaseRepresentation
bin1011101101111010…
…1100010001100000
322010012121010010211
42323132230101200
522420204310211
61240040303504
7140642221552
oct27336542140
98105533124
103145385056
111374540390
12739471b94
133b18589b8
1421ba4d4d2
15136210e21
hexbb7ac460

3145385056 has 96 divisors (see below), whose sum is σ = 7073111808. Its totient is φ = 1362915840.

The previous prime is 3145384973. The next prime is 3145385081. The reversal of 3145385056 is 6505835413.

3145385056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3586090 + ... + 3586966.

It is an arithmetic number, because the mean of its divisors is an integer number (73678248).

Almost surely, 23145385056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145385056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536555904).

3145385056 is an abundant number, since it is smaller than the sum of its proper divisors (3927726752).

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

3145385056 is a wasteful number, since it uses less digits than its factorization.

3145385056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The square root of 3145385056 is about 56083.7325434034. The cubic root of 3145385056 is about 1465.1809824284.

The spelling of 3145385056 in words is "three billion, one hundred forty-five million, three hundred eighty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 443 506 736 877 886 1012 1754 1772 2024 3508 3544 4048 4873 7016 7088 8096 9647 9746 10189 14032 14176 19294 19492 20171 20378 28064 38588 38984 40342 40756 77176 77968 80684 81512 112079 154352 155936 161368 163024 221881 224158 308704 322736 326048 388511 443762 448316 645472 777022 887524 896632 1554044 1775048 1793264 3108088 3550096 3586528 4273621 6216176 7100192 8547242 8935753 12432352 17094484 17871506 34188968 35743012 68377936 71486024 98293283 136755872 142972048 196586566 285944096 393173132 786346264 1572692528 3145385056