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142412088 = 233713197331
BaseRepresentation
bin10000111110100…
…00100100111000
3100220222021122210
420133100210320
5242424141323
622044215120
73346324410
oct1037204470
9326867583
10142412088
117342a345
123b83a4a0
1323673210
1414cb1640
15c781293
hex87d0938

142412088 has 128 divisors (see below), whose sum is σ = 441745920. Its totient is φ = 37255680.

The previous prime is 142412041. The next prime is 142412107. The reversal of 142412088 is 880214241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430083 + ... + 430413.

It is an arithmetic number, because the mean of its divisors is an integer number (3451140).

Almost surely, 2142412088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142412088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220872960).

142412088 is an abundant number, since it is smaller than the sum of its proper divisors (299333832).

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

142412088 is a wasteful number, since it uses less digits than its factorization.

142412088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 142412088 is about 11933.6535897436. The cubic root of 142412088 is about 522.2145299271.

The spelling of 142412088 in words is "one hundred forty-two million, four hundred twelve thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 197 273 312 331 364 394 546 591 662 728 788 993 1092 1182 1324 1379 1576 1986 2184 2317 2364 2561 2648 2758 3972 4137 4303 4634 4728 5122 5516 6951 7683 7944 8274 8606 9268 10244 11032 12909 13902 15366 16548 17212 17927 18536 20488 25818 27804 30121 30732 33096 34424 35854 51636 53781 55608 60242 61464 65207 71708 90363 103272 107562 120484 130414 143416 180726 195621 215124 240968 260828 361452 391242 430248 456449 521656 722904 782484 847691 912898 1369347 1564968 1695382 1825796 2543073 2738694 3390764 3651592 5086146 5477388 5933837 6781528 10172292 10954776 11867674 17801511 20344584 23735348 35603022 47470696 71206044 142412088