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40024646232 = 23319106182727
BaseRepresentation
bin100101010001101001…
…111010001001011000
310211022101102200202220
4211101221322021120
51123432302134412
630215335024040
72614563610464
oct452151721130
9124271380686
1040024646232
1115a7996212a
12791020b020
133a0b20172c
141d199854a4
151093c5468c
hex951a7a258

40024646232 has 64 divisors (see below), whose sum is σ = 105428563200. Its totient is φ = 12627296640.

The previous prime is 40024646227. The next prime is 40024646273. The reversal of 40024646232 is 23264642004.

It is a junction number, because it is equal to n+sod(n) for n = 40024646193 and 40024646202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442453 + ... + 525179.

It is an arithmetic number, because the mean of its divisors is an integer number (1647321300).

Almost surely, 240024646232 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 40024646232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52714281600).

40024646232 is an abundant number, since it is smaller than the sum of its proper divisors (65403916968).

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

40024646232 is a wasteful number, since it uses less digits than its factorization.

40024646232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83816 (or 83812 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

It can be divided in two parts, 4002464 and 6232, that added together give a triangular number (4008696 = T2831).

The spelling of 40024646232 in words is "forty billion, twenty-four million, six hundred forty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1061 2122 3183 4244 6366 8488 12732 20159 25464 40318 60477 80636 82727 120954 161272 165454 241908 248181 330908 483816 496362 661816 992724 1571813 1985448 3143626 4715439 6287252 9430878 12574504 18861756 37723512 87773347 175546694 263320041 351093388 526640082 702186776 1053280164 1667693593 2106560328 3335387186 5003080779 6670774372 10006161558 13341548744 20012323116 40024646232