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3142025440 = 255193592879
BaseRepresentation
bin1011101101000111…
…1000000011100000
322002222021102121121
42323101320003200
522413324303230
61235440302024
7140601530011
oct27321700340
98088242547
103142025440
111372656244
12738311914
133b0c50768
1421b417008
15135c9a77a
hexbb4780e0

3142025440 has 96 divisors (see below), whose sum is σ = 7838208000. Its totient is φ = 1186933248.

The previous prime is 3142025417. The next prime is 3142025441. The reversal of 3142025440 is 445202413.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142025441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089921 + ... + 1092799.

It is an arithmetic number, because the mean of its divisors is an integer number (81648000).

Almost surely, 23142025440 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 3142025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104000).

3142025440 is an abundant number, since it is smaller than the sum of its proper divisors (4696182560).

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

3142025440 is a wasteful number, since it uses less digits than its factorization.

3142025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 3142025440 is about 56053.7727543829. The cubic root of 3142025440 is about 1464.6591386271.

Adding to 3142025440 its reverse (445202413), we get a palindrome (3587227853).

The spelling of 3142025440 in words is "three billion, one hundred forty-two million, twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 359 380 608 718 760 1436 1520 1795 2872 2879 3040 3590 5744 5758 6821 7180 11488 11516 13642 14360 14395 23032 27284 28720 28790 34105 46064 54568 54701 57440 57580 68210 92128 109136 109402 115160 136420 218272 218804 230320 272840 273505 437608 460640 545680 547010 875216 1033561 1091360 1094020 1750432 2067122 2188040 4134244 4376080 5167805 8268488 8752160 10335610 16536976 19637659 20671220 33073952 39275318 41342440 78550636 82684880 98188295 157101272 165369760 196376590 314202544 392753180 628405088 785506360 1571012720 3142025440