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23314324224340 = 22514919340536781
BaseRepresentation
bin1010100110100010010100…
…00000110111100101010100
310001112211100100012210121101
411103101022000313211110
511023440214000134330
6121330241440355444
74624255455061342
oct523211200674524
9101484310183541
1023314324224340
117479605248846
122746580015b84
1310016ba481316
145a85c284a992
152a66d45b34ca
hex15344a037954

23314324224340 has 48 divisors (see below), whose sum is σ = 49544054960400. Its totient is φ = 9215145123840.

The previous prime is 23314324224337. The next prime is 23314324224379. The reversal of 23314324224340 is 4342242341332.

It can be written as a sum of positive squares in 8 ways, for example, as 11045599074064 + 12268725150276 = 3323492^2 + 3502674^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23314324224340.

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, 19693251 + ... + 20843530.

It is an arithmetic number, because the mean of its divisors is an integer number (1032167811675).

Almost surely, 223314324224340 is an apocalyptic number.

23314324224340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23314324224340 is an abundant number, since it is smaller than the sum of its proper divisors (26229730736060).

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

23314324224340 is a wasteful number, since it uses less digits than its factorization.

23314324224340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40537132 (or 40537130 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 23314324224340 its reverse (4342242341332), we get a palindrome (27656566565672).

The spelling of 23314324224340 in words is "twenty-three trillion, three hundred fourteen billion, three hundred twenty-four million, two hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 149 193 298 386 596 745 772 965 1490 1930 2980 3860 28757 57514 115028 143785 287570 575140 40536781 81073562 162147124 202683905 405367810 810735620 6039980369 7823598733 12079960738 15647197466 24159921476 30199901845 31294394932 39117993665 60399803690 78235987330 120799607380 156471974660 1165716211217 2331432422434 4662864844868 5828581056085 11657162112170 23314324224340