Search a number
-
+
40353172000 = 255317593429
BaseRepresentation
bin100101100101001111…
…001000101000100000
310212011021121112101221
4211211033020220200
51130120403001000
630312112304424
72625663205531
oct454517105040
9125137545357
1040353172000
111612834a429
1279a2242114
133a612a948b
141d4b462688
1510b29ea61a
hex9653c8a20

40353172000 has 96 divisors (see below), whose sum is σ = 104980140720. Its totient is φ = 15191756800.

The previous prime is 40353171973. The next prime is 40353172031. The reversal of 40353172000 is 27135304.

It can be written as a sum of positive squares in 8 ways, for example, as 16366596624 + 23986575376 = 127932^2 + 154876^2 .

It is a super-3 number, since 3×403531720003 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 228715 + ... + 364714.

Almost surely, 240353172000 is an apocalyptic number.

40353172000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40353172000 is an abundant number, since it is smaller than the sum of its proper divisors (64626968720).

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

40353172000 is a wasteful number, since it uses less digits than its factorization.

40353172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593471 (or 593453 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The spelling of 40353172000 in words is "forty billion, three hundred fifty-three million, one hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 593429 1186858 2373716 2967145 4747432 5934290 9494864 10088293 11868580 14835725 18989728 20176586 23737160 29671450 40353172 47474320 50441465 59342900 74178625 80706344 94948640 100882930 118685800 148357250 161412688 201765860 237371600 252207325 296714500 322825376 403531720 474743200 504414650 593429000 807063440 1008829300 1186858000 1261036625 1614126880 2017658600 2373716000 2522073250 4035317200 5044146500 8070634400 10088293000 20176586000 40353172000