Search a number
-
+
40220040132 = 22333498091319
BaseRepresentation
bin100101011101010011…
…010001101111000100
310211211000002201211000
4211131103101233010
51124332312241012
630250555013300
72622455462136
oct453523215704
9124730081730
1040220040132
111606a189498
12796573a230
133a3c83531c
141d378c9056
1510a5e9dddc
hex95d4d1bc4

40220040132 has 96 divisors (see below), whose sum is σ = 104781600000. Its totient is φ = 13341618432.

The previous prime is 40220040103. The next prime is 40220040139. The reversal of 40220040132 is 23104002204.

40220040132 is a `hidden beast` number, since 40 + 220 + 0 + 401 + 3 + 2 = 666.

40220040132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40220040139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30492169 + ... + 30493487.

It is an arithmetic number, because the mean of its divisors is an integer number (1091475000).

Almost surely, 240220040132 is an apocalyptic number.

It is an amenable number.

40220040132 is an abundant number, since it is smaller than the sum of its proper divisors (64561559868).

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

40220040132 is a wasteful number, since it uses less digits than its factorization.

40220040132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40220040132 its reverse (23104002204), we get a palindrome (63324042336).

The spelling of 40220040132 in words is "forty billion, two hundred twenty million, forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 349 698 809 1047 1319 1396 1618 2094 2427 2638 3141 3236 3957 4188 4854 5276 6282 7281 7914 9423 9708 11871 12564 14562 15828 18846 21843 23742 29124 35613 37692 43686 47484 71226 87372 142452 282341 460331 564682 847023 920662 1067071 1129364 1380993 1694046 1841324 2134142 2541069 2761986 3201213 3388092 4142979 4268284 5082138 5523972 6402426 7623207 8285958 9603639 10164276 12428937 12804852 15246414 16571916 19207278 24857874 28810917 30492828 38414556 49715748 57621834 115243668 372407779 744815558 1117223337 1489631116 2234446674 3351670011 4468893348 6703340022 10055010033 13406680044 20110020066 40220040132