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141435392 = 297193167
BaseRepresentation
bin10000110111000…
…10001000000000
3100212010122212212
420123202020000
5242201413032
622011241252
73335116040
oct1033421000
9325118785
10141435392
117292255a
123b449228
13233c07a7
1414ad9720
15c63bbb2
hex86e2200

141435392 has 160 divisors (see below), whose sum is σ = 356167680. Its totient is φ = 54743040.

The previous prime is 141435353. The next prime is 141435401. The reversal of 141435392 is 293534141.

It is a super-2 number, since 2×1414353922 = 40007940220387328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 2110943 + ... + 2111009.

It is an arithmetic number, because the mean of its divisors is an integer number (2226048).

Almost surely, 2141435392 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 141435392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178083840).

141435392 is an abundant number, since it is smaller than the sum of its proper divisors (214732288).

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

141435392 is an equidigital number, since it uses as much as digits as its factorization.

141435392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 141435392 is about 11892.6612665122. The cubic root of 141435392 is about 521.0179664525.

The spelling of 141435392 in words is "one hundred forty-one million, four hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 67 76 112 124 128 133 134 152 217 224 248 256 266 268 304 434 448 469 496 512 532 536 589 608 868 896 938 992 1064 1072 1178 1216 1273 1736 1792 1876 1984 2077 2128 2144 2356 2432 2546 3472 3584 3752 3968 4123 4154 4256 4288 4712 4864 5092 6944 7504 7936 8246 8308 8512 8576 8911 9424 9728 10184 13888 14539 15008 15872 16492 16616 17024 17152 17822 18848 20368 27776 29078 30016 32984 33232 34048 34304 35644 37696 39463 40736 55552 58156 60032 65968 66464 68096 71288 75392 78926 81472 111104 116312 120064 131936 132928 142576 150784 157852 162944 232624 240128 263872 265856 276241 285152 301568 315704 325888 465248 527744 531712 552482 570304 631408 651776 930496 1055488 1063424 1104964 1140608 1262816 1860992 2110976 2209928 2281216 2525632 3721984 4419856 4562432 5051264 7443968 8839712 10102528 17679424 20205056 35358848 70717696 141435392