Search a number
-
+
40804368327 = 3319971097523
BaseRepresentation
bin100110000000001000…
…010011111111000111
310220022201121200102000
4212000020103333013
51132031404241302
630424551120343
72643112256652
oct460010237707
9126281550360
1040804368327
111633a002958
127aa93730b3
133b03904858
141d91352899
1510dc42331c
hex980213fc7

40804368327 has 64 divisors (see below), whose sum is σ = 64886976000. Its totient is φ = 25268143104.

The previous prime is 40804368313. The next prime is 40804368349. The reversal of 40804368327 is 72386340804.

40804368327 is a `hidden beast` number, since 40 + 80 + 436 + 83 + 27 = 666.

It is not a de Polignac number, because 40804368327 - 26 = 40804368263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40804368127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5420188 + ... + 5427710.

It is an arithmetic number, because the mean of its divisors is an integer number (1013859000).

Almost surely, 240804368327 is an apocalyptic number.

40804368327 is a deficient number, since it is larger than the sum of its proper divisors (24082607673).

40804368327 is a wasteful number, since it uses less digits than its factorization.

40804368327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7757 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 40804368327 in words is "forty billion, eight hundred four million, three hundred sixty-eight thousand, three hundred twenty-seven".

Divisors: 1 3 9 19 27 57 97 109 171 291 327 513 873 981 1843 2071 2619 2943 5529 6213 7523 10573 16587 18639 22569 31719 49761 55917 67707 95157 142937 200887 203121 285471 428811 602661 729731 820007 1286433 1807983 2189193 2460021 3859299 5423949 6567579 7380063 13864889 15580133 19702737 22140189 41594667 46740399 79540679 124784001 140221197 238622037 374352003 420663591 715866111 1511272901 2147598333 4533818703 13601456109 40804368327