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23133144342240 = 2532516064683571
BaseRepresentation
bin1010100001010000110101…
…10110011101111011100000
310000220111200121022011101200
411100220122312131323200
511013003134422422430
6121111115251001200
74605212611352622
oct520503266357340
9100814617264350
1023133144342240
1174097909a0799
122717437299200
13cba5a526a5aa
1459d91607ac12
152a1b2d4e5460
hex150a1ad9dee0

23133144342240 has 72 divisors (see below), whose sum is σ = 78941855072808. Its totient is φ = 6168838490880.

The previous prime is 23133144342227. The next prime is 23133144342377. The reversal of 23133144342240 is 4224344133132.

23133144342240 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 31 + 44 + 342 + 240 = 666.

23133144342240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23133144342195 and 23133144342204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8032340346 + ... + 8032343225.

It is an arithmetic number, because the mean of its divisors is an integer number (1096414653789).

Almost surely, 223133144342240 is an apocalyptic number.

23133144342240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23133144342240 is an abundant number, since it is smaller than the sum of its proper divisors (55808710730568).

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

23133144342240 is a wasteful number, since it uses less digits than its factorization.

23133144342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16064683592 (or 16064683581 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 23133144342240 its reverse (4224344133132), we get a palindrome (27357488475372).

The spelling of 23133144342240 in words is "twenty-three trillion, one hundred thirty-three billion, one hundred forty-four million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 16064683571 32129367142 48194050713 64258734284 80323417855 96388101426 128517468568 144582152139 160646835710 192776202852 240970253565 257034937136 289164304278 321293671420 385552405704 481940507130 514069874272 578328608556 642587342840 722910760695 771104811408 963881014260 1156657217112 1285174685680 1445821521390 1542209622816 1927762028520 2313314434224 2570349371360 2891643042780 3855524057040 4626628868448 5783286085560 7711048114080 11566572171120 23133144342240