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4140426672 = 243389113953
BaseRepresentation
bin1111011011001001…
…1110010110110000
3101200112221110122000
43312302132112300
531434422123142
61522503414000
7204414021534
oct36662362660
911615843560
104140426672
111835187928
12976754300
1350ca4b015
142b3c69bc4
1519376314c
hexf6c9e5b0

4140426672 has 160 divisors (see below), whose sum is σ = 12137169600. Its totient is φ = 1351139328.

The previous prime is 4140426649. The next prime is 4140426683. The reversal of 4140426672 is 2766240414.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4344148 + ... + 4345100.

It is an arithmetic number, because the mean of its divisors is an integer number (75857310).

Almost surely, 24140426672 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 4140426672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068584800).

4140426672 is an abundant number, since it is smaller than the sum of its proper divisors (7996742928).

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

4140426672 is a wasteful number, since it uses less digits than its factorization.

4140426672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4140426672 is about 64346.1472972547. The cubic root of 4140426672 is about 1605.7639336505.

The spelling of 4140426672 in words is "four billion, one hundred forty million, four hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 113 144 178 216 226 267 339 356 432 452 534 678 712 801 904 953 1017 1068 1356 1424 1602 1808 1906 2034 2136 2403 2712 2859 3051 3204 3812 4068 4272 4806 5424 5718 6102 6408 7624 8136 8577 9612 10057 11436 12204 12816 15248 16272 17154 19224 20114 22872 24408 25731 30171 34308 38448 40228 45744 48816 51462 60342 68616 80456 84817 90513 102924 107689 120684 137232 160912 169634 181026 205848 215378 241368 254451 271539 323067 339268 362052 411696 430756 482736 508902 543078 646134 678536 724104 763353 861512 969201 1017804 1086156 1292268 1357072 1448208 1526706 1723024 1938402 2035608 2172312 2290059 2584536 2907603 3053412 3876804 4071216 4344624 4580118 5169072 5815206 6106824 7753608 9160236 9584321 11630412 12213648 15507216 18320472 19168642 23260824 28752963 36640944 38337284 46521648 57505926 76674568 86258889 115011852 153349136 172517778 230023704 258776667 345035556 460047408 517553334 690071112 1035106668 1380142224 2070213336 4140426672