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40113144 = 2334103601
BaseRepresentation
bin1001100100000…
…1001111111000
32210110221220000
42121001033320
540232110034
63551433000
7664645641
oct231011770
983427800
1040113144
1120708665
1211525760
1384061b6
1454826c8
1537c5599
hex26413f8

40113144 has 80 divisors (see below), whose sum is σ = 113633520. Its totient is φ = 13219200.

The previous prime is 40113133. The next prime is 40113167. The reversal of 40113144 is 44131104.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66444 + ... + 67044.

It is an arithmetic number, because the mean of its divisors is an integer number (1420419).

Almost surely, 240113144 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 40113144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56816760).

40113144 is an abundant number, since it is smaller than the sum of its proper divisors (73520376).

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

40113144 is a wasteful number, since it uses less digits than its factorization.

40113144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40113144 is about 6333.4938225280. The cubic root of 40113144 is about 342.3173416435.

Adding to 40113144 its reverse (44131104), we get a palindrome (84244248).

The spelling of 40113144 in words is "forty million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 309 324 412 601 618 648 824 927 1202 1236 1803 1854 2404 2472 2781 3606 3708 4808 5409 5562 7212 7416 8343 10818 11124 14424 16227 16686 21636 22248 32454 33372 43272 48681 61903 64908 66744 97362 123806 129816 185709 194724 247612 371418 389448 495224 557127 742836 1114254 1485672 1671381 2228508 3342762 4457016 5014143 6685524 10028286 13371048 20056572 40113144