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23314434442104 = 23313137545443441
BaseRepresentation
bin1010100110100010100001…
…00101010100001101111000
310001112211122000121102221210
411103101100211110031320
511023440430204121404
6121330300415003120
74624261263651051
oct523212045241570
9101484560542853
1023314434442104
117479661489003
1227465b0b094a0
131001707261830
145a85d333b728
152a66de0d5689
hex153450954378

23314434442104 has 64 divisors (see below), whose sum is σ = 63227803796640. Its totient is φ = 7121309552640.

The previous prime is 23314434442009. The next prime is 23314434442147. The reversal of 23314434442104 is 40124443441332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 272678977 + ... + 272764464.

Almost surely, 223314434442104 is an apocalyptic number.

23314434442104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23314434442104 is an abundant number, since it is smaller than the sum of its proper divisors (39913369354536).

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

23314434442104 is a wasteful number, since it uses less digits than its factorization.

23314434442104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545443600 (or 545443596 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 23314434442104 its reverse (40124443441332), we get a palindrome (63438877883436).

The spelling of 23314434442104 in words is "twenty-three trillion, three hundred fourteen billion, four hundred thirty-four million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 274 312 411 548 822 1096 1644 1781 3288 3562 5343 7124 10686 14248 21372 42744 545443441 1090886882 1636330323 2181773764 3272660646 4363547528 6545321292 7090764733 13090642584 14181529466 21272294199 28363058932 42544588398 56726117864 74725751417 85089176796 149451502834 170178353592 224177254251 298903005668 448354508502 597806011336 896709017004 971434768421 1793418034008 1942869536842 2914304305263 3885739073684 5828608610526 7771478147368 11657217221052 23314434442104