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3146144260 = 2257193493389
BaseRepresentation
bin1011101110000110…
…0101101000000100
322010021000200120111
42323201211220010
522420403104020
61240104442404
7140651533150
oct27341455004
98107020514
103146144260
111374a09826
12739779404
133b1a6342c
1421bbaa060
15136310d5a
hexbb865a04

3146144260 has 96 divisors (see below), whose sum is σ = 7973280000. Its totient is φ = 1018676736.

The previous prime is 3146144231. The next prime is 3146144273. The reversal of 3146144260 is 624416413.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 926646 + ... + 930034.

It is an arithmetic number, because the mean of its divisors is an integer number (83055000).

Almost surely, 23146144260 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 3146144260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986640000).

3146144260 is an abundant number, since it is smaller than the sum of its proper divisors (4827135740).

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

3146144260 is a wasteful number, since it uses less digits than its factorization.

3146144260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3773 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 3146144260 is about 56090.5006217630. The cubic root of 3146144260 is about 1465.2988568971.

The spelling of 3146144260 in words is "three billion, one hundred forty-six million, one hundred forty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 349 380 532 665 698 1330 1396 1745 2443 2660 3389 3490 4886 6631 6778 6980 9772 12215 13262 13556 16945 23723 24430 26524 33155 33890 46417 47446 48860 64391 66310 67780 92834 94892 118615 128782 132620 185668 232085 237230 257564 321955 450737 464170 474460 643910 901474 928340 1182761 1287820 1802948 2253685 2365522 4507370 4731044 5913805 8279327 9014740 11827610 16558654 22472459 23655220 33117308 41396635 44944918 82793270 89889836 112362295 157307213 165586540 224724590 314614426 449449180 629228852 786536065 1573072130 3146144260