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40545434304 = 263334767619
BaseRepresentation
bin100101110000101100…
…100011101011000000
310212122200101110201000
4211300230203223000
51131014112344204
630343141212000
72633516335164
oct456054435300
9125580343630
1040545434304
11162169279a1
127a36701000
133a9208485b
141d68bccca4
1510c4827039
hex970b23ac0

40545434304 has 112 divisors (see below), whose sum is σ = 119541340800. Its totient is φ = 13475996928.

The previous prime is 40545434297. The next prime is 40545434327. The reversal of 40545434304 is 40343454504.

40545434304 is a `hidden beast` number, since 40 + 545 + 43 + 4 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 565807 + ... + 633425.

It is an arithmetic number, because the mean of its divisors is an integer number (1067333400).

Almost surely, 240545434304 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 40545434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59770670400).

40545434304 is an abundant number, since it is smaller than the sum of its proper divisors (78995906496).

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

40545434304 is a wasteful number, since it uses less digits than its factorization.

40545434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67987 (or 67971 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 40545434304 its reverse (40343454504), we get a palindrome (80888888808).

The spelling of 40545434304 in words is "forty billion, five hundred forty-five million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 347 432 576 694 864 1041 1388 1728 2082 2776 3123 4164 5552 6246 8328 9369 11104 12492 16656 18738 22208 24984 33312 37476 49968 66624 67619 74952 99936 135238 149904 199872 202857 270476 299808 405714 540952 599616 608571 811428 1081904 1217142 1622856 1825713 2163808 2434284 3245712 3651426 4327616 4868568 6491424 7302852 9737136 12982848 14605704 19474272 23463793 29211408 38948544 46927586 58422816 70391379 93855172 116845632 140782758 187710344 211174137 281565516 375420688 422348274 563131032 633522411 750841376 844696548 1126262064 1267044822 1501682752 1689393096 2252524128 2534089644 3378786192 4505048256 5068179288 6757572384 10136358576 13515144768 20272717152 40545434304