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3142004256 = 25343139103
BaseRepresentation
bin1011101101000111…
…0010111000100000
322002222020100120000
42323101302320200
522413323114011
61235440020000
7140601411156
oct27321627040
98088210500
103142004256
111372641336
12738301600
133b0c43c21
1421b40d3d6
15135c94356
hexbb472e20

3142004256 has 120 divisors (see below), whose sum is σ = 9538873344. Its totient is φ = 1013523840.

The previous prime is 3142004249. The next prime is 3142004269. The reversal of 3142004256 is 6524002413.

3142004256 is a `hidden beast` number, since 31 + 4 + 200 + 425 + 6 = 666.

It is a super-2 number, since 2×31420042562 = 19744381489444227072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60801 + ... + 99903.

Almost surely, 23142004256 is an apocalyptic number.

3142004256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142004256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769436672).

3142004256 is an abundant number, since it is smaller than the sum of its proper divisors (6396869088).

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

3142004256 is a wasteful number, since it uses less digits than its factorization.

3142004256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39156 (or 39139 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3142004256 is about 56053.5837926533. The cubic root of 3142004256 is about 1464.6558469703.

Adding to 3142004256 its reverse (6524002413), we get a palindrome (9666006669).

The spelling of 3142004256 in words is "three billion, one hundred forty-two million, four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4464 5022 6696 8928 10044 13392 20088 26784 39103 40176 78206 80352 117309 156412 234618 312824 351927 469236 625648 703854 938472 1055781 1212193 1251296 1407708 1876944 2111562 2424386 2815416 3167343 3636579 3753888 4223124 4848772 5630832 6334686 7273158 8446248 9697544 10909737 11261664 12669372 14546316 16892496 19395088 21819474 25338744 29092632 32729211 33784992 38790176 43638948 50677488 58185264 65458422 87277896 98187633 101354976 116370528 130916844 174555792 196375266 261833688 349111584 392750532 523667376 785501064 1047334752 1571002128 3142004256