Search a number
-
+
32355125040 = 2435719259003
BaseRepresentation
bin11110001000100001…
…000000011100110000
310002111212212122120110
4132020201000130300
51012230403000130
622510322341320
72223535011420
oct361041003460
9102455778513
1032355125040
11127a3696367
12632b7ba840
13308829b304
1417cd146480
15c95788ab0
hex788840730

32355125040 has 80 divisors (see below), whose sum is σ = 114629591808. Its totient is φ = 7395456768.

The previous prime is 32355125039. The next prime is 32355125053. The reversal of 32355125040 is 4052155323.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 32355124989 and 32355125007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9627822 + ... + 9631181.

Almost surely, 232355125040 is an apocalyptic number.

32355125040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32355125040 is an abundant number, since it is smaller than the sum of its proper divisors (82274466768).

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

32355125040 is a wasteful number, since it uses less digits than its factorization.

32355125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19259026 (or 19259020 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 32355125040 in words is "thirty-two billion, three hundred fifty-five million, one hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 19259003 38518006 57777009 77036012 96295015 115554018 134813021 154072024 192590030 231108036 269626042 288885045 308144048 385180060 404439063 462216072 539252084 577770090 674065105 770360120 808878126 924432144 1078504168 1155540180 1348130210 1540720240 1617756252 2022195315 2157008336 2311080360 2696260420 3235512504 4044390630 4622160720 5392520840 6471025008 8088781260 10785041680 16177562520 32355125040