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40744770432 = 273463229171
BaseRepresentation
bin100101111100100100…
…111101101110000000
310220011120110210110120
4211330210331232000
51131421130123212
630415021500240
72641456556112
oct457444755600
9126146423416
1040744770432
11163093a70a3
127a91411680
133ac4468922
141d8747b3b2
1510d709e88c
hex97c93db80

40744770432 has 64 divisors (see below), whose sum is σ = 108462524160. Its totient is φ = 13552197120.

The previous prime is 40744770421. The next prime is 40744770433. The reversal of 40744770432 is 23407744704.

40744770432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40744770433) 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, 63207 + ... + 292377.

It is an arithmetic number, because the mean of its divisors is an integer number (1694726940).

Almost surely, 240744770432 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 40744770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54231262080).

40744770432 is an abundant number, since it is smaller than the sum of its proper divisors (67717753728).

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

40744770432 is a wasteful number, since it uses less digits than its factorization.

40744770432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229651 (or 229639 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 42.

The spelling of 40744770432 in words is "forty billion, seven hundred forty-four million, seven hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 463 926 1389 1852 2778 3704 5556 7408 11112 14816 22224 29632 44448 59264 88896 177792 229171 458342 687513 916684 1375026 1833368 2750052 3666736 5500104 7333472 11000208 14666944 22000416 29333888 44000832 88001664 106106173 212212346 318318519 424424692 636637038 848849384 1273274076 1697698768 2546548152 3395397536 5093096304 6790795072 10186192608 13581590144 20372385216 40744770432