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142153403440 = 24510149935257
BaseRepresentation
bin1000010001100100000…
…0001100110000110000
3111120220220201002221011
42010121000030300300
54312112232402230
6145145424440304
713161456664306
oct2043100146060
9446826632834
10142153403440
1155317988004
1223672a79094
1310535a5a409
146c4761a276
153a6ecd6e2a
hex211900cc30

142153403440 has 80 divisors (see below), whose sum is σ = 334457388000. Its totient is φ = 56183961600.

The previous prime is 142153403423. The next prime is 142153403477. The reversal of 142153403440 is 44304351241.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4014292 + ... + 4049548.

It is an arithmetic number, because the mean of its divisors is an integer number (4180717350).

Almost surely, 2142153403440 is an apocalyptic number.

142153403440 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 142153403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167228694000).

142153403440 is an abundant number, since it is smaller than the sum of its proper divisors (192303984560).

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

142153403440 is a wasteful number, since it uses less digits than its factorization.

142153403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35870 (or 35864 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 142153403440 its reverse (44304351241), we get a palindrome (186457754681).

The spelling of 142153403440 in words is "one hundred forty-two billion, one hundred fifty-three million, four hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 499 505 808 998 1010 1616 1996 2020 2495 3992 4040 4990 7984 8080 9980 19960 35257 39920 50399 70514 100798 141028 176285 201596 251995 282056 352570 403192 503990 564112 705140 806384 1007980 1410280 2015960 2820560 3560957 4031920 7121914 14243828 17593243 17804785 28487656 35186486 35609570 56975312 70372972 71219140 87966215 140745944 142438280 175932430 281491888 284876560 351864860 703729720 1407459440 1776917543 3553835086 7107670172 8884587715 14215340344 17769175430 28430680688 35538350860 71076701720 142153403440