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40101342112 = 2513211876247
BaseRepresentation
bin100101010110001110…
…011110101110100000
310211111201202020202001
4211112032132232200
51124111420421422
630231114533344
72616514532566
oct452616365640
9124451666661
1040101342112
1116009186957
127931a37254
133a21075c00
141d25c2ba36
15109a854227
hex95639eba0

40101342112 has 72 divisors (see below), whose sum is σ = 85575432096. Its totient is φ = 18489758976.

The previous prime is 40101342101. The next prime is 40101342119. The reversal of 40101342112 is 21124310104.

40101342112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40101342112.

It is not an unprimeable number, because it can be changed into a prime (40101342119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6416173 + ... + 6422419.

It is an arithmetic number, because the mean of its divisors is an integer number (1188547668).

Almost surely, 240101342112 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 40101342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42787716048).

40101342112 is an abundant number, since it is smaller than the sum of its proper divisors (45474089984).

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

40101342112 is a wasteful number, since it uses less digits than its factorization.

40101342112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7470 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 40101342112 its reverse (21124310104), we get a palindrome (61225652216).

The spelling of 40101342112 in words is "forty billion, one hundred one million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1187 1352 2374 2704 4748 5408 6247 9496 12494 15431 18992 24988 30862 37984 49976 61724 81211 99952 123448 162422 199904 200603 246896 324844 401206 493792 649688 802412 1055743 1299376 1604824 2111486 2598752 3209648 4222972 6419296 7415189 8445944 14830378 16891888 29660756 33783776 59321512 96397457 118643024 192794914 237286048 385589828 771179656 1253166941 1542359312 2506333882 3084718624 5012667764 10025335528 20050671056 40101342112