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421523213301342 = 2321913145720587703
BaseRepresentation
bin101111111010111111000010…
…1011001001011011001011110
32001021111020002111021122112200
41133311332011121023121132
5420222214020101120332
64052301031344312330
7154534022115256215
oct13765760531133136
92037436074248480
10421523213301342
11112345a99903989
123b33a0333126a6
131512861226a949
147613b920a607c
1533aebbd25417c
hex17f5f8564b65e

421523213301342 has 96 divisors (see below), whose sum is σ = 970827181758720. Its totient is φ = 131807409252480.

The previous prime is 421523213301331. The next prime is 421523213301343. The reversal of 421523213301342 is 243103312325124.

421523213301342 is a `hidden beast` number, since 4 + 2 + 1 + 5 + 2 + 3 + 2 + 1 + 3 + 301 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 421523213301297 and 421523213301306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421523213301343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10180663 + ... + 30768365.

It is an arithmetic number, because the mean of its divisors is an integer number (10112783143320).

Almost surely, 2421523213301342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421523213301342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485413590879360).

421523213301342 is an abundant number, since it is smaller than the sum of its proper divisors (549303968457378).

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

421523213301342 is a wasteful number, since it uses less digits than its factorization.

421523213301342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20588318 (or 20588315 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 421523213301342 its reverse (243103312325124), we get a palindrome (664626525626466).

The spelling of 421523213301342 in words is "four hundred twenty-one trillion, five hundred twenty-three billion, two hundred thirteen million, three hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 131 171 262 342 393 457 786 914 1179 1371 2358 2489 2742 4113 4978 7467 8226 8683 14934 17366 22401 26049 44802 52098 59867 78147 119734 156294 179601 359202 538803 1077606 1137473 2274946 3412419 6824838 10237257 20474514 20587703 41175406 61763109 123526218 185289327 370578654 391166357 782332714 1173499071 2346998142 2696989093 3520497213 5393978186 7040994426 8090967279 9408580271 16181934558 18817160542 24272901837 28225740813 48545803674 51242792767 56451481626 84677222439 102485585534 153728378301 169354444878 178763025149 307456756602 357526050298 461185134903 536289075447 922370269806 1072578150894 1232524015501 1608867226341 2465048031002 3217734452682 3697572046503 7395144093006 11092716139509 22185432279018 23417956294519 46835912589038 70253868883557 140507737767114 210761606650671 421523213301342