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142351488 = 2732294261
BaseRepresentation
bin10000111110000…
…01110010000000
3100220212012112100
420133001302000
5242420221423
622043030400
73345652626
oct1037016200
9326765470
10142351488
1173398864
123b80b400
1323651766
1414c97516
15c76d343
hex87c1c80

142351488 has 96 divisors (see below), whose sum is σ = 423855900. Its totient is φ = 45803520.

The previous prime is 142351487. The next prime is 142351499. The reversal of 142351488 is 884153241.

142351488 is a `hidden beast` number, since 142 + 35 + 1 + 488 = 666.

142351488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 128867904 + 13483584 = 11352^2 + 3672^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1423514882 = 40527892271628288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142351487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31278 + ... + 35538.

Almost surely, 2142351488 is an apocalyptic number.

142351488 is a gapful number since it is divisible by the number (18) 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 142351488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211927950).

142351488 is an abundant number, since it is smaller than the sum of its proper divisors (281504412).

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

142351488 is a wasteful number, since it uses less digits than its factorization.

142351488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4310 (or 4295 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 142351488 is about 11931.1142815749. The cubic root of 142351488 is about 522.1404475212.

The spelling of 142351488 in words is "one hundred forty-two million, three hundred fifty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 4261 5568 8352 8522 11136 12783 16704 17044 25566 33408 34088 38349 51132 68176 76698 102264 123569 136352 153396 204528 247138 272704 306792 370707 409056 494276 545408 613584 741414 818112 988552 1112121 1227168 1482828 1636224 1977104 2224242 2454336 2965656 3954208 4448484 4908672 5931312 7908416 8896968 11862624 15816832 17793936 23725248 35587872 47450496 71175744 142351488