Search a number
-
+
402942154657461 = 31779251997399647
BaseRepresentation
bin101101110011110010100011…
…1111111100100111010110101
31221211200220010120022112012220
41123213211013333210322311
5410303301013043014321
63544553023112032553
7150605416136612046
oct13347450777447265
91854626116275186
10402942154657461
11107431898695361
1239238a80392759
13143ab388b37903
14717070bcc48cd
15318b6b43819c6
hex16e7947fe4eb5

402942154657461 has 64 divisors (see below), whose sum is σ = 578936870830080. Its totient is φ = 248381587584000.

The previous prime is 402942154657459. The next prime is 402942154657477. The reversal of 402942154657461 is 164756451249204.

It is a happy number.

It is not a de Polignac number, because 402942154657461 - 21 = 402942154657459 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 402942154657395 and 402942154657404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402942154657481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1008045340 + ... + 1008444986.

It is an arithmetic number, because the mean of its divisors is an integer number (9045888606720).

Almost surely, 2402942154657461 is an apocalyptic number.

It is an amenable number.

402942154657461 is a deficient number, since it is larger than the sum of its proper divisors (175994716172619).

402942154657461 is a wasteful number, since it uses less digits than its factorization.

402942154657461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400994.

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 402942154657461 in words is "four hundred two trillion, nine hundred forty-two billion, one hundred fifty-four million, six hundred fifty-seven thousand, four hundred sixty-one".

Divisors: 1 3 17 51 79 237 251 753 997 1343 2991 4029 4267 12801 16949 19829 50847 59487 78763 236289 250247 337093 399647 750741 1011279 1198941 1338971 4016913 4254199 6793999 12762597 19769513 20381997 31572113 59308539 94716339 100311397 300934191 336081721 398448059 536725921 1008245163 1195344177 1610177763 1705293749 5115881247 6773617003 7924600363 20320851009 23773801089 31477396661 94432189983 100010462809 134718206171 300031388427 404154618513 535115743237 1605347229711 1700177867753 5100533603259 7900826561911 23702479685733 134314051552487 402942154657461