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141631380 = 2232511233307
BaseRepresentation
bin10000111000100…
…01111110010100
3100212111121201200
420130101332110
5242224201010
622015352500
73336563322
oct1034217624
9325447650
10141631380
1172a46830
123b522730
132345ba67
1414b4ad12
15c679cc0
hex8711f94

141631380 has 144 divisors (see below), whose sum is σ = 472215744. Its totient is φ = 34076160.

The previous prime is 141631361. The next prime is 141631393. The reversal of 141631380 is 83136141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461187 + ... + 461493.

It is an arithmetic number, because the mean of its divisors is an integer number (3279276).

Almost surely, 2141631380 is an apocalyptic number.

141631380 is a gapful number since it is divisible by the number (10) 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 141631380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236107872).

141631380 is an abundant number, since it is smaller than the sum of its proper divisors (330584364).

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

141631380 is a wasteful number, since it uses less digits than its factorization.

141631380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 141631380 is about 11900.8982854237. The cubic root of 141631380 is about 521.2585147756.

The spelling of 141631380 in words is "one hundred forty-one million, six hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 233 307 330 396 466 495 614 660 699 921 932 990 1165 1228 1398 1535 1842 1980 2097 2330 2563 2763 2796 3070 3377 3495 3684 4194 4605 4660 5126 5526 6140 6754 6990 7689 8388 9210 10131 10252 10485 11052 12815 13508 13815 13980 15378 16885 18420 20262 20970 23067 25630 27630 30393 30756 33770 38445 40524 41940 46134 50655 51260 55260 60786 67540 71531 76890 92268 101310 115335 121572 143062 151965 153780 202620 214593 230670 286124 303930 357655 429186 461340 607860 643779 715310 786841 858372 1072965 1287558 1430620 1573682 2145930 2360523 2575116 3147364 3218895 3934205 4291860 4721046 6437790 7081569 7868410 9442092 11802615 12875580 14163138 15736820 23605230 28326276 35407845 47210460 70815690 141631380