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23420014044224 = 267891938130307
BaseRepresentation
bin1010101001100111001011…
…00111100010010001000000
310001220221011001020221101212
411110303211213202101000
511032203142043403344
6121451001140145252
74635016531526120
oct524634547422100
9101827131227355
1023420014044224
11750a410407826
122762b57398228
13100b661a06195
145ad76b416c80
152a931d0b579e
hex154ce59e2440

23420014044224 has 112 divisors (see below), whose sum is σ = 53714567744640. Its totient is φ = 9923532410880.

The previous prime is 23420014044221. The next prime is 23420014044247. The reversal of 23420014044224 is 42244041002432.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (23420014044221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 772744079 + ... + 772774385.

Almost surely, 223420014044224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23420014044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26857283872320).

23420014044224 is an abundant number, since it is smaller than the sum of its proper divisors (30294553700416).

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

23420014044224 is a wasteful number, since it uses less digits than its factorization.

23420014044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49796 (or 49786 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 23420014044224 its reverse (42244041002432), we get a palindrome (65664055046656).

The spelling of 23420014044224 in words is "twenty-three trillion, four hundred twenty billion, fourteen million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 178 224 356 448 623 712 1246 1424 2492 2848 4984 5696 9968 19381 19936 30307 38762 39872 60614 77524 121228 135667 155048 212149 242456 271334 310096 424298 484912 542668 620192 848596 969824 1085336 1240384 1697192 1724909 1939648 2170672 2697323 3394384 3449818 4341344 5394646 6788768 6899636 8682688 10789292 12074363 13577536 13799272 18881261 21578584 24148726 27598544 37762522 43157168 48297452 55197088 75525044 86314336 96594904 110394176 151050088 172628672 193189808 302100176 386379616 587379967 604200352 772759232 1174759934 1208400704 2349519868 4111659769 4699039736 8223319538 9398079472 16446639076 18796158944 32893278152 37592317888 52276817063 65786556304 104553634126 131573112608 209107268252 263146225216 365937719441 418214536504 731875438882 836429073008 1463750877764 1672858146016 2927501755528 3345716292032 5855003511056 11710007022112 23420014044224