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40000433664 = 29361942071
BaseRepresentation
bin100101010000001101…
…100010111000000000
310211020200212120101010
4211100031202320000
51123410102334124
630213112040520
72614151035062
oct452015427000
9124220776333
1040000433664
1115a67224944
127904093140
133a061a4a79
141d16681732
151091a70529
hex950362e00

40000433664 has 80 divisors (see below), whose sum is σ = 106738346880. Its totient is φ = 13311621120.

The previous prime is 40000433663. The next prime is 40000433687. The reversal of 40000433664 is 46633400004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40000433663) 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, 929749 + ... + 971819.

It is an arithmetic number, because the mean of its divisors is an integer number (1334229336).

Almost surely, 240000433664 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 40000433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53369173440).

40000433664 is an abundant number, since it is smaller than the sum of its proper divisors (66737913216).

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

40000433664 is an equidigital number, since it uses as much as digits as its factorization.

40000433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42711 (or 42695 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 40000433664 its reverse (46633400004), we get a palindrome (86633833668).

The spelling of 40000433664 in words is "forty billion, four hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 619 768 1238 1536 1857 2476 3714 4952 7428 9904 14856 19808 29712 39616 42071 59424 79232 84142 118848 126213 158464 168284 237696 252426 316928 336568 475392 504852 673136 950784 1009704 1346272 2019408 2692544 4038816 5385088 8077632 10770176 16155264 21540352 26041949 32310528 52083898 64621056 78125847 104167796 156251694 208335592 312503388 416671184 625006776 833342368 1250013552 1666684736 2500027104 3333369472 5000054208 6666738944 10000108416 13333477888 20000216832 40000433664