Search a number
-
+
40455370600 = 23522338571013
BaseRepresentation
bin100101101011010100…
…111111011101101000
310212102101220202112021
4211223110333131220
51130323033324400
630330202554224
72631343655611
oct455324773550
9125371822467
1040455370600
1116180002787
127a10508974
133a7950c918
141d5ac66c08
1510bb98671a
hex96b53f768

40455370600 has 96 divisors (see below), whose sum is σ = 94666005720. Its totient is φ = 16078008320.

The previous prime is 40455370597. The next prime is 40455370633. The reversal of 40455370600 is 607355404.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 21399876 + 40433970724 = 4626^2 + 201082^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39935694 + ... + 39936706.

Almost surely, 240455370600 is an apocalyptic number.

40455370600 is a gapful number since it is divisible by the number (40) 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 40455370600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47333002860).

40455370600 is an abundant number, since it is smaller than the sum of its proper divisors (54210635120).

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

40455370600 is a wasteful number, since it uses less digits than its factorization.

40455370600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The spelling of 40455370600 in words is "forty billion, four hundred fifty-five million, three hundred seventy thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 233 466 857 932 1013 1165 1714 1864 2026 2330 3428 4052 4285 4660 5065 5825 6856 8104 8570 9320 10130 11650 17140 20260 21425 23300 25325 34280 40520 42850 46600 50650 85700 101300 171400 199681 202600 236029 399362 472058 798724 868141 944116 998405 1180145 1597448 1736282 1888232 1996810 2360290 3472564 3993620 4340705 4720580 4992025 5900725 6945128 7987240 8681410 9441160 9984050 11801450 17362820 19968100 21703525 23602900 34725640 39936200 43407050 47205800 86814100 173628200 202276853 404553706 809107412 1011384265 1618214824 2022768530 4045537060 5056921325 8091074120 10113842650 20227685300 40455370600