Search a number
-
+
40452644096 = 28419739733
BaseRepresentation
bin100101101011001010…
…100101110100000000
310212102012210020110122
4211223022211310000
51130321334102341
630330024315412
72631311541614
oct455312456400
9125365706418
1040452644096
1116179510277
127a0b612b68
133a78a968c7
141d5a757344
1510bb5e894b
hex96b2a5d00

40452644096 has 72 divisors (see below), whose sum is σ = 83571568584. Its totient is φ = 19529072640.

The previous prime is 40452644059. The next prime is 40452644101. The reversal of 40452644096 is 69044625404.

It can be written as a sum of positive squares in 4 ways, for example, as 5078557696 + 35374086400 = 71264^2 + 188080^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 998246 + ... + 1037978.

Almost surely, 240452644096 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 40452644096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41785784292).

40452644096 is an abundant number, since it is smaller than the sum of its proper divisors (43118924488).

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

40452644096 is an equidigital number, since it uses as much as digits as its factorization.

40452644096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39887 (or 39873 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 40452644096 in words is "forty billion, four hundred fifty-two million, six hundred forty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 97 128 164 194 256 328 388 656 776 1312 1552 2624 3104 3977 5248 6208 7954 10496 12416 15908 24832 31816 39733 63632 79466 127264 158932 254528 317864 509056 635728 1018112 1271456 1629053 2542912 3258106 3854101 5085824 6516212 7708202 10171648 13032424 15416404 26064848 30832808 52129696 61665616 104259392 123331232 158018141 208518784 246662464 316036282 417037568 493324928 632072564 986649856 1264145128 2528290256 5056580512 10113161024 20226322048 40452644096