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41132026432 = 267401228959
BaseRepresentation
bin100110010011101010…
…001110101001000000
310221011120011102211101
4212103222032221000
51133214244321212
630521254024144
72654201312260
oct462352165100
9127146142741
1041132026432
1116497a58282
127b7b048054
133b567676a3
141dc2a857a0
15110b097157
hex993a8ea40

41132026432 has 56 divisors (see below), whose sum is σ = 93514590720. Its totient is φ = 17583974400.

The previous prime is 41132026417. The next prime is 41132026433. The reversal of 41132026432 is 23462023114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 41132026432.

It is not an unprimeable number, because it can be changed into a prime (41132026433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65169 + ... + 294127.

Almost surely, 241132026432 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 41132026432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46757295360).

41132026432 is an abundant number, since it is smaller than the sum of its proper divisors (52382564288).

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

41132026432 is a wasteful number, since it uses less digits than its factorization.

41132026432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229379 (or 229369 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 41132026432 its reverse (23462023114), we get a palindrome (64594049546).

The spelling of 41132026432 in words is "forty-one billion, one hundred thirty-two million, twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 401 448 802 1604 2807 3208 5614 6416 11228 12832 22456 25664 44912 89824 179648 228959 457918 915836 1602713 1831672 3205426 3663344 6410852 7326688 12821704 14653376 25643408 51286816 91812559 102573632 183625118 367250236 642687913 734500472 1285375826 1469000944 2570751652 2938001888 5141503304 5876003776 10283006608 20566013216 41132026432