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141285144 = 233711135881
BaseRepresentation
bin10000110101111…
…01011100011000
3100211212000210010
420122331130120
5242132111034
622004121520
73333622020
oct1032753430
9324760703
10141285144
117282a690
123b3962a0
132336a2a0
1414a9aa80
15c60c3e9
hex86bd718

141285144 has 128 divisors (see below), whose sum is σ = 474324480. Its totient is φ = 33868800.

The previous prime is 141285127. The next prime is 141285167. The reversal of 141285144 is 441582141.

141285144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1412851442 = 39922983830201472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21084 + ... + 26964.

It is an arithmetic number, because the mean of its divisors is an integer number (3705660).

Almost surely, 2141285144 is an apocalyptic number.

141285144 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 141285144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237162240).

141285144 is an abundant number, since it is smaller than the sum of its proper divisors (333039336).

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

141285144 is a wasteful number, since it uses less digits than its factorization.

141285144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5921 (or 5917 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 141285144 is about 11886.3427512419. The cubic root of 141285144 is about 520.8334071694.

The spelling of 141285144 in words is "one hundred forty-one million, two hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 5881 6006 8008 11762 12012 17643 23524 24024 35286 41167 47048 64691 70572 76453 82334 123501 129382 141144 152906 164668 194073 229359 247002 258764 305812 329336 388146 452837 458718 494004 517528 535171 611624 776292 840983 905674 917436 988008 1070342 1358511 1552584 1605513 1681966 1811348 1834872 2140684 2522949 2717022 3211026 3363932 3622696 4281368 5045898 5434044 5886881 6422052 6727864 10091796 10868088 11773762 12844104 17660643 20183592 23547524 35321286 47095048 70642572 141285144