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42032002133223 = 3417137308372269
BaseRepresentation
bin10011000111010010101101…
…00011100110110011100111
312111211012221111102200010000
421203221112203212303213
521002123020021230343
6225221122450032343
711565466124145534
oct1143512643466347
9174735844380100
1042032002133223
1112435743483243
12486a1005786b3
131a5b7a6c3722b
14a54507265d8b
154cd5374a7ed3
hex263a568e6ce7

42032002133223 has 80 divisors (see below), whose sum is σ = 66989908703520. Its totient is φ = 26171663099904.

The previous prime is 42032002133197. The next prime is 42032002133249. The reversal of 42032002133223 is 32233120023024.

42032002133223 is a `hidden beast` number, since 4 + 2 + 0 + 320 + 0 + 2 + 1 + 332 + 2 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (42032002133197) and next prime (42032002133249).

It is not a de Polignac number, because 42032002133223 - 26 = 42032002133159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42032002133123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 581568733 + ... + 581641001.

It is an arithmetic number, because the mean of its divisors is an integer number (837373858794).

Almost surely, 242032002133223 is an apocalyptic number.

42032002133223 is a deficient number, since it is larger than the sum of its proper divisors (24957906570297).

42032002133223 is a wasteful number, since it uses less digits than its factorization.

42032002133223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75518 (or 75509 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 42032002133223 its reverse (32233120023024), we get a palindrome (74265122156247).

The spelling of 42032002133223 in words is "forty-two trillion, thirty-two billion, two million, one hundred thirty-three thousand, two hundred twenty-three".

Divisors: 1 3 9 17 27 51 81 137 153 411 459 1233 1377 2329 3083 3699 6987 9249 11097 20961 27747 52411 62883 72269 83241 157233 188649 216807 249723 422371 471699 650421 1228573 1267113 1415097 1951263 3685719 3801339 4245291 5853789 7180307 9900853 11057157 11404017 21540921 29702559 33171471 34212051 64622763 89107677 99514413 168314501 193868289 222805327 267323031 504943503 581604867 668415981 801969093 1514830509 2005247943 3787690559 4544491527 6015743829 11363071677 13633474581 18047231487 30524329799 34089215031 91572989397 102267645093 274718968191 306802935279 518913606583 824156904573 1556740819749 2472470713719 4670222459247 14010667377741 42032002133223