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3142147136 = 26891314211
BaseRepresentation
bin1011101101001001…
…0101110001000000
322002222111121112212
42323102111301000
522413342202021
61235443041252
7140602544552
oct27322256100
98088447485
103142147136
111372729717
12738370228
133b0c93c7b
1421b4494d2
15135cc185b
hexbb495c40

3142147136 has 56 divisors (see below), whose sum is σ = 6354897120. Its totient is φ = 1541196800.

The previous prime is 3142147123. The next prime is 3142147147. The reversal of 3142147136 is 6317412413.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 744071 + ... + 748281.

Almost surely, 23142147136 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 3142147136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177448560).

3142147136 is an abundant number, since it is smaller than the sum of its proper divisors (3212749984).

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

3142147136 is a wasteful number, since it uses less digits than its factorization.

3142147136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4443 (or 4433 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 3142147136 is about 56054.8582729454. The cubic root of 3142147136 is about 1464.6780479645.

Adding to 3142147136 its reverse (6317412413), we get a palindrome (9459559549).

The spelling of 3142147136 in words is "three billion, one hundred forty-two million, one hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 89 131 178 262 356 524 712 1048 1424 2096 2848 4192 4211 5696 8384 8422 11659 16844 23318 33688 46636 67376 93272 134752 186544 269504 373088 374779 551641 746176 749558 1103282 1499116 2206564 2998232 4413128 5996464 8826256 11992928 17652512 23985856 35305024 49096049 98192098 196384196 392768392 785536784 1571073568 3142147136