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140441151144 = 233722918731949
BaseRepresentation
bin1000001011001011110…
…0011110011010101000
3111102111120210200100110
42002302330132122220
54300110413314034
6144303501134320
713101156042150
oct2026274363250
9442446720313
10140441151144
1154619406568
122327555a3a0
13103220b1088
146b24065760
1539be812de9
hex20b2f1e6a8

140441151144 has 128 divisors (see below), whose sum is σ = 403434720000. Its totient is φ = 39909003264.

The previous prime is 140441151121. The next prime is 140441151187. The reversal of 140441151144 is 441151144041.

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, 72057082 + ... + 72059030.

It is an arithmetic number, because the mean of its divisors is an integer number (3151833750).

Almost surely, 2140441151144 is an apocalyptic number.

140441151144 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 140441151144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201717360000).

140441151144 is an abundant number, since it is smaller than the sum of its proper divisors (262993568856).

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

140441151144 is a wasteful number, since it uses less digits than its factorization.

140441151144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4063 counting only the distinct ones).

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

Adding to 140441151144 its reverse (441151144041), we get a palindrome (581592295185).

The spelling of 140441151144 in words is "one hundred forty billion, four hundred forty-one million, one hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 229 458 687 916 1374 1603 1832 1873 1949 2748 3206 3746 3898 4809 5496 5619 5847 6412 7492 7796 9618 11238 11694 12824 13111 13643 14984 15592 19236 22476 23388 26222 27286 38472 39333 40929 44952 46776 52444 54572 78666 81858 104888 109144 157332 163716 314664 327432 428917 446321 857834 892642 1286751 1338963 1715668 1785284 2573502 2677926 3002419 3124247 3431336 3570568 3650477 5147004 5355852 6004838 6248494 7300954 9007257 9372741 10294008 10711704 10951431 12009676 12496988 14601908 18014514 18745482 21902862 24019352 24993976 25553339 29203816 36029028 37490964 43805724 51106678 72058056 74981928 76660017 87611448 102213356 153320034 204426712 306640068 613280136 835959233 1671918466 2507877699 3343836932 5015755398 5851714631 6687673864 10031510796 11703429262 17555143893 20063021592 23406858524 35110287786 46813717048 70220575572 140441151144