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40400400404 = 22713237167967
BaseRepresentation
bin100101101000000011…
…010011000000010100
310212021120110222121002
4211220003103000110
51130220000303104
630320520442432
72630105510630
oct455003230024
9125246428532
1040400400404
1116151a77871
1279b6019418
133a6b004190
141d53837dc0
1510b6c2901e
hex9680d3014

40400400404 has 96 divisors (see below), whose sum is σ = 92079783936. Its totient is φ = 15072140160.

The previous prime is 40400400401. The next prime is 40400400409.

40400400404 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40400400401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560429 + ... + 628395.

It is an arithmetic number, because the mean of its divisors is an integer number (959164416).

Almost surely, 240400400404 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 40400400404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46039891968).

40400400404 is an abundant number, since it is smaller than the sum of its proper divisors (51679383532).

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

40400400404 is a wasteful number, since it uses less digits than its factorization.

40400400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68085 (or 68083 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The spelling of 40400400404 in words is "forty billion, four hundred million, four hundred thousand, four hundred four".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 71 91 92 142 161 182 284 299 322 364 497 598 644 923 994 1196 1633 1846 1988 2093 3266 3692 4186 6461 6532 8372 11431 12922 21229 22862 25844 42458 45724 67967 84916 135934 148603 271868 297206 475769 594412 883571 951538 1563241 1767142 1903076 3126482 3534284 4825657 6184997 6252964 9651314 10942687 12369994 19302628 20322133 21885374 24739988 33779599 40644266 43770748 62733541 67559198 81288532 110990111 125467082 135118396 142254931 221980222 250934164 284509862 439134787 443960444 569019724 776930777 878269574 1442871443 1553861554 1756539148 2885742886 3107723108 5771485772 10100100101 20200200202 40400400404