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141704046 = 233111911249
BaseRepresentation
bin10000111001000…
…11101101101110
3100212122022102000
420130203231232
5242234012141
622021113130
73340315221
oct1034435556
9325568360
10141704046
1172a96390
123b5587a6
1323485b63
1414b695b8
15c6915b6
hex8723b6e

141704046 has 64 divisors (see below), whose sum is σ = 345600000. Its totient is φ = 42681600.

The previous prime is 141704039. The next prime is 141704047. The reversal of 141704046 is 640407141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141704047) 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, 112830 + ... + 114078.

It is an arithmetic number, because the mean of its divisors is an integer number (5400000).

Almost surely, 2141704046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141704046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800000).

141704046 is an abundant number, since it is smaller than the sum of its proper divisors (203895954).

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

141704046 is a wasteful number, since it uses less digits than its factorization.

141704046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 141704046 is about 11903.9508567534. The cubic root of 141704046 is about 521.3476459064.

It can be divided in two parts, 1417040 and 46, that added together give a triangular number (1417086 = T1683).

The spelling of 141704046 in words is "one hundred forty-one million, seven hundred four thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 191 198 297 382 573 594 1146 1249 1719 2101 2498 3438 3747 4202 5157 6303 7494 10314 11241 12606 13739 18909 22482 27478 33723 37818 41217 56727 67446 82434 113454 123651 238559 247302 370953 477118 715677 741906 1431354 2147031 2624149 4294062 5248298 6441093 7872447 12882186 15744894 23617341 47234682 70852023 141704046