Search a number
-
+
40630723380 = 223251317363557
BaseRepresentation
bin100101110101110001…
…111010001100110100
310212212121212121022200
4211311301322030310
51131202431122010
630355425224500
72635603310322
oct456561721464
9125777777280
1040630723380
111625aa90935
127a5b192130
133aa6947470
141d76270d12
1510cc072cc0
hex975c7a334

40630723380 has 72 divisors (see below), whose sum is σ = 132727037352. Its totient is φ = 10001408256.

The previous prime is 40630723379. The next prime is 40630723381. The reversal of 40630723380 is 8332703604.

40630723380 is a `hidden beast` number, since 40 + 6 + 307 + 233 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (40630723379) and next prime (40630723381).

It can be written as a sum of positive squares in 4 ways, for example, as 222487056 + 40408236324 = 14916^2 + 201018^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40630723381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8679439 + ... + 8684118.

Almost surely, 240630723380 is an apocalyptic number.

It is an amenable number.

40630723380 is an abundant number, since it is smaller than the sum of its proper divisors (92096313972).

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

40630723380 is a wasteful number, since it uses less digits than its factorization.

40630723380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17363585 (or 17363580 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 40630723380 in words is "forty billion, six hundred thirty million, seven hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 17363557 34727114 52090671 69454228 86817785 104181342 156272013 173635570 208362684 225726241 260453355 312544026 347271140 451452482 520906710 625088052 677178723 781360065 902904964 1041813420 1128631205 1354357446 1562720130 2031536169 2257262410 2708714892 3125440260 3385893615 4063072338 4514524820 6771787230 8126144676 10157680845 13543574460 20315361690 40630723380