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151411140 = 223351991409
BaseRepresentation
bin10010000011001…
…01100111000100
3101112220111001000
421001211213010
5302230124030
623005133300
73515654616
oct1101454704
9345814030
10151411140
1178516481
124285a230
13254a42ba
1416174db6
15d45c860
hex90659c4

151411140 has 96 divisors (see below), whose sum is σ = 473760000. Its totient is φ = 40144896.

The previous prime is 151411123. The next prime is 151411151. The reversal of 151411140 is 41114151.

151411140 is a `hidden beast` number, since 1 + 514 + 11 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106756 + ... + 108164.

It is an arithmetic number, because the mean of its divisors is an integer number (4935000).

Almost surely, 2151411140 is an apocalyptic number.

151411140 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 151411140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236880000).

151411140 is an abundant number, since it is smaller than the sum of its proper divisors (322348860).

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

151411140 is a wasteful number, since it uses less digits than its factorization.

151411140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 151411140 is about 12304.9234048815. The cubic root of 151411140 is about 532.9902646101.

Adding to 151411140 its reverse (41114151), we get a palindrome (192525291).

It can be divided in two parts, 1514111 and 40, that added together give a palindrome (1514151).

The spelling of 151411140 in words is "one hundred fifty-one million, four hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 199 270 398 540 597 796 995 1194 1409 1791 1990 2388 2818 2985 3582 3980 4227 5373 5636 5970 7045 7164 8454 8955 10746 11940 12681 14090 16908 17910 21135 21492 25362 26865 28180 35820 38043 42270 50724 53730 63405 76086 84540 107460 126810 152172 190215 253620 280391 380430 560782 760860 841173 1121564 1401955 1682346 2523519 2803910 3364692 4205865 5047038 5607820 7570557 8411730 10094076 12617595 15141114 16823460 25235190 30282228 37852785 50470380 75705570 151411140