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40301013132 = 22342910142467
BaseRepresentation
bin100101100010001000…
…001010100010001100
310212000122110120220000
4211202020022202030
51130014024410012
630303010324300
72624460650052
oct454210124214
9125018416800
1040301013132
1116100964726
127988889690
133a53546543
141d445661d2
1510ad145ddc
hex96220a88c

40301013132 has 120 divisors (see below), whose sum is σ = 110069411760. Its totient is φ = 12841718400.

The previous prime is 40301013089. The next prime is 40301013169. The reversal of 40301013132 is 23131010304.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 927763 + ... + 970229.

It is an arithmetic number, because the mean of its divisors is an integer number (917245098).

Almost surely, 240301013132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40301013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55034705880).

40301013132 is an abundant number, since it is smaller than the sum of its proper divisors (69768398628).

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

40301013132 is a wasteful number, since it uses less digits than its factorization.

40301013132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42613 (or 42602 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 40301013132 its reverse (23131010304), we get a palindrome (63432023436).

The spelling of 40301013132 in words is "forty billion, three hundred one million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 101 108 116 162 174 202 261 303 324 348 404 522 606 783 909 1044 1212 1566 1818 2349 2727 2929 3132 3636 4698 5454 5858 8181 8787 9396 10908 11716 16362 17574 26361 32724 35148 42467 52722 79083 84934 105444 127401 158166 169868 237249 254802 316332 382203 474498 509604 764406 948996 1146609 1231543 1528812 2293218 2463086 3439827 3694629 4289167 4586436 4926172 6879654 7389258 8578334 11083887 12867501 13759308 14778516 17156668 22167774 25735002 33251661 38602503 44335548 51470004 66503322 77205006 99754983 115807509 124385843 133006644 154410012 199509966 231615018 248771686 347422527 373157529 399019932 463230036 497543372 694845054 746315058 1119472587 1389690108 1492630116 2238945174 3358417761 4477890348 6716835522 10075253283 13433671044 20150506566 40301013132