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40336146112 = 267983277347
BaseRepresentation
bin100101100100001110…
…001011111011000000
310212010002120112021111
4211210032023323000
51130102023133422
630310303333104
72625365404423
oct454416137300
9125102515244
1040336146112
1116119780649
1279985b1194
133a5a8c79a2
141d490ad9ba
1510b1285a77
hex96438bec0

40336146112 has 112 divisors (see below), whose sum is σ = 82565199360. Its totient is φ = 19545357312.

The previous prime is 40336146061. The next prime is 40336146113. The reversal of 40336146112 is 21164163304.

It is a happy number.

It is a super-2 number, since 2×403361461122 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40336146113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116242323 + ... + 116242669.

It is an arithmetic number, because the mean of its divisors is an integer number (737189280).

Almost surely, 240336146112 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 40336146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41282599680).

40336146112 is an abundant number, since it is smaller than the sum of its proper divisors (42229053248).

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

40336146112 is a wasteful number, since it uses less digits than its factorization.

40336146112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 40336146112 in words is "forty billion, three hundred thirty-six million, one hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 79 83 158 166 277 316 332 347 554 632 664 694 1108 1264 1328 1388 2216 2528 2656 2776 4432 5056 5312 5552 6557 8864 11104 13114 17728 21883 22208 22991 26228 27413 28801 43766 45982 52456 54826 57602 87532 91964 96119 104912 109652 115204 175064 183928 192238 209824 219304 230408 350128 367856 384476 419648 438608 460816 700256 735712 768952 877216 921632 1400512 1471424 1537904 1754432 1816289 1843264 2275279 3075808 3632578 4550558 6151616 7265156 7593401 7977877 9101116 14530312 15186802 15955754 18202232 29060624 30373604 31911508 36404464 58121248 60747208 63823016 72808928 116242496 121494416 127646032 145617856 242988832 255292064 485977664 510584128 630252283 1260504566 2521009132 5042018264 10084036528 20168073056 40336146112