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141835968 = 2633791039
BaseRepresentation
bin10000111010000…
…11111011000000
3100212220000101000
420131003323000
5242302222333
622024012000
73341404641
oct1035037300
9325800330
10141835968
117307650a
123b601000
1323500c11
1414ba16c8
15c6ba713
hex8743ec0

141835968 has 112 divisors (see below), whose sum is σ = 422656000. Its totient is φ = 46635264.

The previous prime is 141835951. The next prime is 141835997. The reversal of 141835968 is 869538141.

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, 135993 + ... + 137031.

Almost surely, 2141835968 is an apocalyptic number.

141835968 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 141835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211328000).

141835968 is an abundant number, since it is smaller than the sum of its proper divisors (280820032).

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

141835968 is a wasteful number, since it uses less digits than its factorization.

141835968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1123 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 141835968 is about 11909.4906692100. The cubic root of 141835968 is about 521.5093818012.

The spelling of 141835968 in words is "one hundred forty-one million, eight hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 432 474 576 632 711 864 948 1039 1264 1422 1728 1896 2078 2133 2528 2844 3117 3792 4156 4266 5056 5688 6234 7584 8312 8532 9351 11376 12468 15168 16624 17064 18702 22752 24936 28053 33248 34128 37404 45504 49872 56106 66496 68256 74808 82081 99744 112212 136512 149616 164162 199488 224424 246243 299232 328324 448848 492486 598464 656648 738729 897696 984972 1313296 1477458 1795392 1969944 2216187 2626592 2954916 3939888 4432374 5253184 5909832 7879776 8864748 11819664 15759552 17729496 23639328 35458992 47278656 70917984 141835968