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142121140 = 225719232101
BaseRepresentation
bin10000111100010…
…01100010110100
3100220102111112221
420132021202310
5242340334030
622034052124
73344003230
oct1036114264
9326374487
10142121140
1173250797
123b71a044
13235a0965
1414c375c0
15c724e7a
hex87898b4

142121140 has 144 divisors (see below), whose sum is σ = 379048320. Its totient is φ = 43718400.

The previous prime is 142121131. The next prime is 142121153. The reversal of 142121140 is 41121241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1407090 + ... + 1407190.

It is an arithmetic number, because the mean of its divisors is an integer number (2632280).

Almost surely, 2142121140 is an apocalyptic number.

142121140 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 142121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189524160).

142121140 is an abundant number, since it is smaller than the sum of its proper divisors (236927180).

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

142121140 is a wasteful number, since it uses less digits than its factorization.

142121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 142121140 is about 11921.4571257041. The cubic root of 142121140 is about 521.8586592467.

Adding to 142121140 its reverse (41121241), we get a palindrome (183242381).

The spelling of 142121140 in words is "one hundred forty-two million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 23 28 35 38 46 70 76 92 95 101 115 133 140 161 190 202 230 266 322 380 404 437 460 505 529 532 644 665 707 805 874 1010 1058 1330 1414 1610 1748 1919 2020 2116 2185 2323 2645 2660 2828 3059 3220 3535 3703 3838 4370 4646 5290 6118 7070 7406 7676 8740 9292 9595 10051 10580 11615 12236 13433 14140 14812 15295 16261 18515 19190 20102 23230 26866 30590 32522 37030 38380 40204 44137 46460 50255 53429 53732 61180 65044 67165 70357 74060 81305 88274 100510 106858 134330 140714 162610 176548 201020 213716 220685 267145 268660 281428 308959 325220 351785 374003 441370 534290 617918 703570 748006 882740 1015151 1068580 1235836 1407140 1496012 1544795 1870015 2030302 3089590 3740030 4060604 5075755 6179180 7106057 7480060 10151510 14212114 20303020 28424228 35530285 71060570 142121140