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3142040412 = 2237194148017
BaseRepresentation
bin1011101101000111…
…1011101101011100
322002222022012011010
42323101323231130
522413330243122
61235440455220
7140601621450
oct27321735534
98088265133
103142040412
111372666515
1273831a510
133b0c57514
1421b41c660
15135c9ee0c
hexbb47bb5c

3142040412 has 96 divisors (see below), whose sum is σ = 9035066880. Its totient is φ = 829716480.

The previous prime is 3142040353. The next prime is 3142040413. The reversal of 3142040412 is 2140402413.

It is a super-2 number, since 2×31420404122 = 19744835901282259488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142040413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41428 + ... + 89444.

It is an arithmetic number, because the mean of its divisors is an integer number (94115280).

Almost surely, 23142040412 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 3142040412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517533440).

3142040412 is an abundant number, since it is smaller than the sum of its proper divisors (5893026468).

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

3142040412 is a wasteful number, since it uses less digits than its factorization.

3142040412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48091 (or 48089 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3142040412 is about 56053.9063045565. The cubic root of 3142040412 is about 1464.6614650290.

Adding to 3142040412 its reverse (2140402413), we get a palindrome (5282442825).

The spelling of 3142040412 in words is "three billion, one hundred forty-two million, forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 41 42 57 76 82 84 114 123 133 164 228 246 266 287 399 492 532 574 779 798 861 1148 1558 1596 1722 2337 3116 3444 4674 5453 9348 10906 16359 21812 32718 48017 65436 96034 144051 192068 288102 336119 576204 672238 912323 1008357 1344476 1824646 1968697 2016714 2736969 3649292 3937394 4033428 5473938 5906091 6386261 7874788 10947876 11812182 12772522 13780879 19158783 23624364 25545044 27561758 37405243 38317566 41342637 55123516 74810486 76635132 82685274 112215729 149620972 165370548 224431458 261836701 448862916 523673402 785510103 1047346804 1571020206 3142040412