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413123321430 = 232571223728901
BaseRepresentation
bin1100000001100000001…
…00011001111001010110
31110111100021102011122200
412000300010121321112
523232034032241210
6513441454305330
741563403202231
oct6006004317126
91414307364580
10413123321430
1114a228387a96
12680961b8246
132cc5a42a9b1
1415dd1070418
15ab2daaa0c0
hex6030119e56

413123321430 has 96 divisors (see below), whose sum is σ = 1089773725248. Its totient is φ = 108562272000.

The previous prime is 413123321423. The next prime is 413123321459. The reversal of 413123321430 is 34123321314.

It is a happy number.

413123321430 is a `hidden beast` number, since 4 + 1 + 312 + 332 + 14 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 413123321394 and 413123321403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14279980 + ... + 14308880.

It is an arithmetic number, because the mean of its divisors is an integer number (11351809638).

Almost surely, 2413123321430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413123321430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544886862624).

413123321430 is an abundant number, since it is smaller than the sum of its proper divisors (676650403818).

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

413123321430 is a wasteful number, since it uses less digits than its factorization.

413123321430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31222 (or 31219 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 413123321430 its reverse (34123321314), we get a palindrome (447246642744).

The spelling of 413123321430 in words is "four hundred thirteen billion, one hundred twenty-three million, three hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 2237 3195 4474 6390 6711 11185 13422 20133 22370 28901 33555 40266 57802 67110 86703 100665 144505 158827 173406 201330 260109 289010 317654 433515 476481 520218 794135 867030 952962 1300545 1429443 1588270 2051971 2382405 2601090 2858886 4103942 4764810 6155913 7147215 10259855 12311826 14294430 18467739 20519710 30779565 36935478 61559130 64651537 92338695 129303074 184677390 193954611 323257685 387909222 581863833 646515370 969773055 1163727666 1939546110 2909319165 4590259127 5818638330 9180518254 13770777381 22951295635 27541554762 41312332143 45902591270 68853886905 82624664286 137707773810 206561660715 413123321430