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23412111714 = 232171931712703
BaseRepresentation
bin10101110011011110…
…000111100101100010
32020102122000111120200
4111303132013211202
5340422000033324
614431054450030
71456113444315
oct256336074542
966378014520
1023412111714
119a24588062
124654803916
132291581554
1411c152697c
159205b6ec9
hex573787962

23412111714 has 96 divisors (see below), whose sum is σ = 56719802880. Its totient is φ = 6935901696.

The previous prime is 23412111703. The next prime is 23412111757. The reversal of 23412111714 is 41711121432.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1836687 + ... + 1849389.

It is an arithmetic number, because the mean of its divisors is an integer number (590831280).

Almost surely, 223412111714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23412111714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28359901440).

23412111714 is an abundant number, since it is smaller than the sum of its proper divisors (33307691166).

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

23412111714 is a wasteful number, since it uses less digits than its factorization.

23412111714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13064 (or 13061 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The spelling of 23412111714 in words is "twenty-three billion, four hundred twelve million, one hundred eleven thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 317 323 342 634 646 951 969 1902 1938 2853 2907 5389 5706 5814 6023 10778 12046 12703 16167 18069 25406 32334 36138 38109 48501 54207 76218 97002 102391 108414 114327 204782 215951 228654 241357 307173 431902 482714 614346 647853 724071 921519 1295706 1448142 1843038 1943559 2172213 3887118 4026851 4103069 4344426 8053702 8206138 12080553 12309207 24161106 24618414 36241659 36927621 68456467 72483318 73855242 76510169 136912934 153020338 205369401 229530507 410738802 459061014 616108203 688591521 1232216406 1300672873 1377183042 2601345746 3902018619 7804037238 11706055857 23412111714