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142155440 = 2457972617
BaseRepresentation
bin10000111100100…
…01111010110000
3100220111020121022
420132101322300
5242342433230
622034515012
73344205230
oct1036217260
9326436538
10142155440
1173274539
123b735a68
13235b345b
1414c45cc0
15c7301e5
hex8791eb0

142155440 has 80 divisors (see below), whose sum is σ = 381767232. Its totient is φ = 48218112.

The previous prime is 142155427. The next prime is 142155457. The reversal of 142155440 is 44551241.

142155440 is digitally balanced in base 3, 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 (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53012 + ... + 55628.

Almost surely, 2142155440 is an apocalyptic number.

142155440 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 142155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190883616).

142155440 is an abundant number, since it is smaller than the sum of its proper divisors (239611792).

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

142155440 is a wasteful number, since it uses less digits than its factorization.

142155440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 142155440 is about 11922.8956214504. The cubic root of 142155440 is about 521.9006382518.

The spelling of 142155440 in words is "one hundred forty-two million, one hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 97 112 140 194 280 388 485 560 679 776 970 1358 1552 1940 2617 2716 3395 3880 5234 5432 6790 7760 10468 10864 13085 13580 18319 20936 26170 27160 36638 41872 52340 54320 73276 91595 104680 146552 183190 209360 253849 293104 366380 507698 732760 1015396 1269245 1465520 1776943 2030792 2538490 3553886 4061584 5076980 7107772 8884715 10153960 14215544 17769430 20307920 28431088 35538860 71077720 142155440