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141117704 = 2371333137
BaseRepresentation
bin10000110100101…
…00100100001000
3100211112112002122
420122110210020
5242111231304
622000350412
73332323610
oct1032244410
9324475078
10141117704
1172725902
123b315408
132330c000
1414a55a40
15c5c79be
hex8694908

141117704 has 128 divisors (see below), whose sum is σ = 347289600. Its totient is φ = 52565760.

The previous prime is 141117703. The next prime is 141117709. The reversal of 141117704 is 407711141.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 141117704 = 2213 + 5073 = 3383 + 4683.

It is not an unprimeable number, because it can be changed into a prime (141117703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3813974 + ... + 3814010.

It is an arithmetic number, because the mean of its divisors is an integer number (2713200).

Almost surely, 2141117704 is an apocalyptic number.

141117704 is a gapful number since it is divisible by the number (14) 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 141117704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173644800).

141117704 is an abundant number, since it is smaller than the sum of its proper divisors (206171896).

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

141117704 is a wasteful number, since it uses less digits than its factorization.

141117704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 141117704 is about 11879.2972856142. The cubic root of 141117704 is about 520.6275756226.

Adding to 141117704 its reverse (407711141), we get a palindrome (548828845).

The spelling of 141117704 in words is "one hundred forty-one million, one hundred seventeen thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 31 37 52 56 62 74 91 104 124 148 169 182 217 248 259 296 338 364 403 434 481 518 676 728 806 868 962 1036 1147 1183 1352 1612 1736 1924 2072 2197 2294 2366 2821 3224 3367 3848 4394 4588 4732 5239 5642 6253 6734 8029 8788 9176 9464 10478 11284 12506 13468 14911 15379 16058 17576 20956 22568 25012 26936 29822 30758 32116 36673 41912 43771 50024 59644 61516 64232 68107 73346 81289 87542 104377 119288 123032 136214 146692 162578 175084 193843 208754 272428 293384 325156 350168 387686 417508 476749 544856 569023 650312 775372 835016 953498 1138046 1356901 1550744 1906996 2276092 2519959 2713802 3813992 4552184 5039918 5427604 10079836 10855208 17639713 20159672 35279426 70558852 141117704