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142520041320 = 23356126972379
BaseRepresentation
bin1000010010111011011…
…0110011111101101000
3111121212110121020112220
42010232312303331220
54313340112310240
6145250043034040
713203531235356
oct2045666637550
9447773536486
10142520041320
1155495936518
122375580b920
13105939ba5c7
146c801b87d6
153a920aa5d0
hex212edb3f68

142520041320 has 128 divisors (see below), whose sum is σ = 436190832000. Its totient is φ = 37242823680.

The previous prime is 142520041319. The next prime is 142520041327. The reversal of 142520041320 is 23140025241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (142520041327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1932891 + ... + 2005269.

It is an arithmetic number, because the mean of its divisors is an integer number (3407740875).

Almost surely, 2142520041320 is an apocalyptic number.

142520041320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142520041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218095416000).

142520041320 is an abundant number, since it is smaller than the sum of its proper divisors (293670790680).

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

142520041320 is a wasteful number, since it uses less digits than its factorization.

142520041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72723 (or 72719 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 142520041320 its reverse (23140025241), we get a palindrome (165660066561).

The spelling of 142520041320 in words is "one hundred forty-two billion, five hundred twenty million, forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 269 305 366 488 538 610 732 807 915 1076 1220 1345 1464 1614 1830 2152 2440 2690 3228 3660 4035 5380 6456 7320 8070 10760 16140 16409 32280 32818 49227 65636 72379 82045 98454 131272 144758 164090 196908 217137 246135 289516 328180 361895 393816 434274 492270 579032 656360 723790 868548 984540 1085685 1447580 1737096 1969080 2171370 2895160 4342740 4415119 8685480 8830238 13245357 17660476 19469951 22075595 26490714 35320952 38939902 44151190 52981428 58409853 66226785 77879804 88302380 97349755 105962856 116819706 132453570 155759608 176604760 194699510 233639412 264907140 292049265 389399020 467278824 529814280 584098530 778798040 1168197060 1187667011 2336394120 2375334022 3563001033 4750668044 5938335055 7126002066 9501336088 11876670110 14252004132 17815005165 23753340220 28504008264 35630010330 47506680440 71260020660 142520041320