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3141553440 = 253523284561
BaseRepresentation
bin1011101101000000…
…0100110100100000
322002221101110011010
42323100010310200
522413214202230
61235422220520
7140564522634
oct27320046440
98087343133
103141553440
111372363663
12738124740
133b0b1697c
1421b332dc4
15135c059b0
hexbb404d20

3141553440 has 96 divisors (see below), whose sum is σ = 10326185856. Its totient is φ = 801320960.

The previous prime is 3141553427. The next prime is 3141553477. The reversal of 3141553440 is 443551413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3141553398 and 3141553407.

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, 131241 + ... + 153320.

It is an arithmetic number, because the mean of its divisors is an integer number (107564436).

Almost surely, 23141553440 is an apocalyptic number.

3141553440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3141553440 is an abundant number, since it is smaller than the sum of its proper divisors (7184632416).

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

3141553440 is a wasteful number, since it uses less digits than its factorization.

3141553440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284602 (or 284594 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 3141553440 is about 56049.5623533315. The cubic root of 3141553440 is about 1464.5857938217.

The spelling of 3141553440 in words is "three billion, one hundred forty-one million, five hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 284561 569122 853683 1138244 1422805 1707366 2276488 2845610 3414732 4268415 4552976 5691220 6544903 6829464 8536830 9105952 11382440 13089806 13658928 17073660 19634709 22764880 26179612 27317856 32724515 34147320 39269418 45529760 52359224 65449030 68294640 78538836 98173545 104718448 130898060 136589280 157077672 196347090 209436896 261796120 314155344 392694180 523592240 628310688 785388360 1047184480 1570776720 3141553440