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142564561104 = 24372659159571
BaseRepresentation
bin1000010011000110000…
…0101001000011010000
3111121222120101002012210
42010301200221003100
54313433011423404
6145254313152120
713204611526560
oct2046140510320
9447876332183
10142564561104
1155508a83929
12237686bb640
131059cca7484
146c86086da0
153a95e51689
hex21318290d0

142564561104 has 80 divisors (see below), whose sum is σ = 421065827840. Its totient is φ = 40717157760.

The previous prime is 142564561057. The next prime is 142564561171. The reversal of 142564561104 is 401165465241.

It is a super-2 number, since 2×1425645611042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813639 + ... + 973209.

It is an arithmetic number, because the mean of its divisors is an integer number (5263322848).

Almost surely, 2142564561104 is an apocalyptic number.

142564561104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142564561104 is an abundant number, since it is smaller than the sum of its proper divisors (278501266736).

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

142564561104 is a wasteful number, since it uses less digits than its factorization.

142564561104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162248 (or 162242 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 142564561104 in words is "one hundred forty-two billion, five hundred sixty-four million, five hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2659 5318 7977 10636 15954 18613 21272 31908 37226 42544 55839 63816 74452 111678 127632 148904 159571 223356 297808 319142 446712 478713 638284 893424 957426 1116997 1276568 1914852 2233994 2553136 3350991 3829704 4467988 6701982 7659408 8935976 13403964 17871952 26807928 53615856 424299289 848598578 1272897867 1697197156 2545795734 2970095023 3394394312 5091591468 5940190046 6788788624 8910285069 10183182936 11880380092 17820570138 20366365872 23760760184 35641140276 47521520368 71282280552 142564561104