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10400440440 = 2335136666949
BaseRepresentation
bin10011010111110101…
…00010000001111000
3222211211021010010210
421223322202001320
5132300003043230
64440005311120
7515506166535
oct115372420170
928754233123
1010400440440
114457860925
1220231054a0
13c99954390
147093ddd8c
1540d10beb0
hex26bea2078

10400440440 has 64 divisors (see below), whose sum is σ = 33601428000. Its totient is φ = 2560108032.

The previous prime is 10400440423. The next prime is 10400440447. The reversal of 10400440440 is 4404400401.

It is a super-2 number, since 2×104004404402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400440447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3331915 + ... + 3335034.

Almost surely, 210400440440 is an apocalyptic number.

10400440440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400440440 is an abundant number, since it is smaller than the sum of its proper divisors (23200987560).

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

10400440440 is a wasteful number, since it uses less digits than its factorization.

10400440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666976 (or 6666972 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 10400440440 its reverse (4404400401), we get a palindrome (14804840841).

The spelling of 10400440440 in words is "ten billion, four hundred million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 6666949 13333898 20000847 26667796 33334745 40001694 53335592 66669490 80003388 86670337 100004235 133338980 160006776 173340674 200008470 260011011 266677960 346681348 400016940 433351685 520022022 693362696 800033880 866703370 1040044044 1300055055 1733406740 2080088088 2600110110 3466813480 5200220220 10400440440