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1600244116140 = 2235311316567529
BaseRepresentation
bin10111010010010101111…
…110110110101010101100
312122222111202121212100210
4113102111332312222230
5202204244443204030
63223050401022420
7223420353361635
oct27222576665254
95588452555323
101600244116140
115677290a356a
1221a17a624a10
13b7b96688567
1457648cb488c
152b95cc54bb0
hex17495fb6aac

1600244116140 has 96 divisors (see below), whose sum is σ = 4660529448960. Its totient is φ = 409813747200.

The previous prime is 1600244116129. The next prime is 1600244116181. The reversal of 1600244116140 is 416114420061.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1600244116098 and 1600244116107.

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, 3040105 + ... + 3527424.

It is an arithmetic number, because the mean of its divisors is an integer number (48547181760).

Almost surely, 21600244116140 is an apocalyptic number.

1600244116140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1600244116140 is an abundant number, since it is smaller than the sum of its proper divisors (3060285332820).

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

1600244116140 is a wasteful number, since it uses less digits than its factorization.

1600244116140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6567703 (or 6567701 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 1600244116140 in words is "one trillion, six hundred billion, two hundred forty-four million, one hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 131 155 186 262 310 372 393 465 524 620 655 786 930 1310 1572 1860 1965 2620 3930 4061 7860 8122 12183 16244 20305 24366 40610 48732 60915 81220 121830 243660 6567529 13135058 19702587 26270116 32837645 39405174 65675290 78810348 98512935 131350580 197025870 203593399 394051740 407186798 610780197 814373596 860346299 1017966995 1221560394 1720692598 2035933990 2443120788 2581038897 3053900985 3441385196 4071867980 4301731495 5162077794 6107801970 8603462990 10324155588 12215603940 12905194485 17206925980 25810388970 26670735269 51620777940 53341470538 80012205807 106682941076 133353676345 160024411614 266707352690 320048823228 400061029035 533414705380 800122058070 1600244116140