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4090371012 = 22327133140277
BaseRepresentation
bin1111001111001110…
…0001101111000100
3101120001202101011200
43303303201233010
531334113333022
61513514502500
7203235402630
oct36363415704
911501671150
104090371012
1118099a9312
12961a34a30
135025734a0
142ab359dc0
1518e176bac
hexf3ce1bc4

4090371012 has 144 divisors (see below), whose sum is σ = 13136428032. Its totient is φ = 1043953920.

The previous prime is 4090371007. The next prime is 4090371013. The reversal of 4090371012 is 2101730904.

It is a super-2 number, since 2×40903710122 = 33462270031619808288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4090371013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81418 + ... + 121694.

Almost surely, 24090371012 is an apocalyptic number.

4090371012 is a gapful number since it is divisible by the number (42) 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 4090371012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568214016).

4090371012 is an abundant number, since it is smaller than the sum of its proper divisors (9046057020).

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

4090371012 is a wasteful number, since it uses less digits than its factorization.

4090371012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40338 (or 40333 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4090371012 is about 63956.0084120327. The cubic root of 4090371012 is about 1599.2667228459.

The spelling of 4090371012 in words is "four billion, ninety million, three hundred seventy-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 806 819 868 1092 1116 1209 1302 1612 1638 1953 2418 2604 2821 3276 3627 3906 4836 5642 7254 7812 8463 11284 14508 16926 25389 33852 40277 50778 80554 101556 120831 161108 241662 281939 362493 483324 523601 563878 724986 845817 1047202 1127756 1248587 1449972 1570803 1691634 2094404 2497174 2537451 3141606 3383268 3665207 3745761 4712409 4994348 5074902 6283212 7330414 7491522 8740109 9424818 10149804 10995621 11237283 14660828 14983044 16231631 17480218 18849636 21991242 22474566 26220327 32463262 32986863 34960436 43982484 44949132 48694893 52440654 64926524 65973726 78660981 97389786 104881308 113621417 131947452 146084679 157321962 194779572 227242834 292169358 314643924 340864251 454485668 584338716 681728502 1022592753 1363457004 2045185506 4090371012