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142121040 = 2435743797
BaseRepresentation
bin10000111100010…
…01100001010000
3100220102111102020
420132021201100
5242340333130
622034051440
73344003025
oct1036114120
9326374366
10142121040
1173250706
123b719b80
13235a08b9
1414c3754c
15c724e10
hex8789850

142121040 has 80 divisors (see below), whose sum is σ = 441721728. Its totient is φ = 37800448.

The previous prime is 142121027. The next prime is 142121051. The reversal of 142121040 is 40121241.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 177922 + ... + 178718.

Almost surely, 2142121040 is an apocalyptic number.

142121040 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 142121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220860864).

142121040 is an abundant number, since it is smaller than the sum of its proper divisors (299600688).

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

142121040 is a wasteful number, since it uses less digits than its factorization.

142121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 142121040 is about 11921.4529315851. The cubic root of 142121040 is about 521.8585368490.

Adding to 142121040 its reverse (40121241), we get a palindrome (182242281).

The spelling of 142121040 in words is "one hundred forty-two million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 743 797 1486 1594 2229 2391 2972 3188 3715 3985 4458 4782 5944 6376 7430 7970 8916 9564 11145 11888 11955 12752 14860 15940 17832 19128 22290 23910 29720 31880 35664 38256 44580 47820 59440 63760 89160 95640 178320 191280 592171 1184342 1776513 2368684 2960855 3553026 4737368 5921710 7106052 8882565 9474736 11843420 14212104 17765130 23686840 28424208 35530260 47373680 71060520 142121040