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3142946160 = 2432531140813
BaseRepresentation
bin1011101101010101…
…1000110101110000
322010001000012121100
42323111120311300
522414043234120
61235512124400
7140612413224
oct27325306560
98101005540
103142946160
111373124a72
12738696700
133b11b3873
1421b5b6784
15135dcd490
hexbb558d70

3142946160 has 120 divisors (see below), whose sum is σ = 10895624064. Its totient is φ = 811077120.

The previous prime is 3142946029. The next prime is 3142946207. The reversal of 3142946160 is 616492413.

3142946160 is a `hidden beast` number, since 3 + 14 + 29 + 4 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×31429461602 = 19756221129317491200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48087 + ... + 92726.

Almost surely, 23142946160 is an apocalyptic number.

3142946160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3142946160 is an abundant number, since it is smaller than the sum of its proper divisors (7752677904).

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

3142946160 is a wasteful number, since it uses less digits than its factorization.

3142946160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140863 (or 140854 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3142946160 is about 56061.9849809120. The cubic root of 3142946160 is about 1464.8021895865.

The spelling of 3142946160 in words is "three billion, one hundred forty-two million, nine hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 140813 281626 422439 563252 704065 844878 1126504 1267317 1408130 1689756 2112195 2253008 2534634 2816260 3379512 4224390 4365203 5069268 5632520 6336585 6759024 8448780 8730406 10138536 11265040 12673170 13095609 16897560 17460812 20277072 21826015 25346340 26191218 33795120 34921624 39286827 43652030 50692680 52382436 65478045 69843248 78573654 87304060 101385360 104764872 130956090 157147308 174608120 196434135 209529744 261912180 314294616 349216240 392868270 523824360 628589232 785736540 1047648720 1571473080 3142946160