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40001054416 = 2429113762913
BaseRepresentation
bin100101010000001111…
…111010011011010000
310211020202001002212221
4211100033322123100
51123410232220131
630213133230424
72614156231621
oct452017723320
9124222032787
1040001054416
1115a67609264
127904332414
133a0636148b
141d167a3a48
151091b44411
hex9503fa6d0

40001054416 has 40 divisors (see below), whose sum is σ = 80884142280. Its totient is φ = 19139936256.

The previous prime is 40001054389. The next prime is 40001054437. The reversal of 40001054416 is 61445010004.

It can be written as a sum of positive squares in 4 ways, for example, as 7238606400 + 32762448016 = 85080^2 + 181004^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329025 + ... + 433888.

It is an arithmetic number, because the mean of its divisors is an integer number (2022103557).

Almost surely, 240001054416 is an apocalyptic number.

It is an amenable number.

40001054416 is an abundant number, since it is smaller than the sum of its proper divisors (40883087864).

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

40001054416 is a wasteful number, since it uses less digits than its factorization.

40001054416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763063 (or 763057 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 40001054416 in words is "forty billion, one million, fifty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 58 113 116 226 232 452 464 904 1808 3277 6554 13108 26216 52432 762913 1525826 3051652 6103304 12206608 22124477 44248954 86209169 88497908 172418338 176995816 344836676 353991632 689673352 1379346704 2500065901 5000131802 10000263604 20000527208 40001054416