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23412344120 = 23511614391987
BaseRepresentation
bin10101110011011111…
…000000010100111000
32020102122110022101022
4111303133000110320
5340422030002440
614431103442012
71456115433014
oct256337002470
966378408338
1023412344120
119a24726730
1246548b6308
132291633279
1411c1587544
15920610cb5
hex5737c0538

23412344120 has 128 divisors (see below), whose sum is σ = 58571251200. Its totient is φ = 8350732800.

The previous prime is 23412344093. The next prime is 23412344129. The reversal of 23412344120 is 2144321432.

It is a self number, because there is not a number n which added to its sum of digits gives 23412344120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23412344129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11781767 + ... + 11783753.

It is an arithmetic number, because the mean of its divisors is an integer number (457587900).

Almost surely, 223412344120 is an apocalyptic number.

23412344120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23412344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29285625600).

23412344120 is an abundant number, since it is smaller than the sum of its proper divisors (35158907080).

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

23412344120 is a wasteful number, since it uses less digits than its factorization.

23412344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 23412344120 its reverse (2144321432), we get a palindrome (25556665552).

The spelling of 23412344120 in words is "twenty-three billion, four hundred twelve million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 439 440 488 610 671 878 1220 1342 1756 1987 2195 2440 2684 3355 3512 3974 4390 4829 5368 6710 7948 8780 9658 9935 13420 15896 17560 19316 19870 21857 24145 26779 26840 38632 39740 43714 48290 53558 79480 87428 96580 107116 109285 121207 133895 174856 193160 214232 218570 242414 267790 294569 437140 484828 535580 589138 606035 872293 874280 969656 1071160 1178276 1212070 1333277 1472845 1744586 2356552 2424140 2666554 2945690 3489172 4361465 4848280 5333108 5891380 6666385 6978344 8722930 9595223 10666216 11782760 13332770 17445860 19190446 26665540 34891720 38380892 47976115 53209873 53331080 76761784 95952230 106419746 191904460 212839492 266049365 383808920 425678984 532098730 585308603 1064197460 1170617206 2128394920 2341234412 2926543015 4682468824 5853086030 11706172060 23412344120