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404132310013040 = 24576355911354251
BaseRepresentation
bin101101111100011100110001…
…0110001111101010001110000
31221222220200010112120212212022
41123320321202301331101300
5410432300432330404130
63551303453055451012
7151060411245326630
oct13370714261752160
91858820115525768
10404132310013040
11107850606327384
12393ab670b26a68
131446668998a91b
1471b2172b6a6c0
1531ac61eb4a7e5
hex16f8e62c7d470

404132310013040 has 80 divisors (see below), whose sum is σ = 1073854270594560. Its totient is φ = 138557456928000.

The previous prime is 404132310013009. The next prime is 404132310013057. The reversal of 404132310013040 is 40310013231404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 29915915 + ... + 41270165.

It is an arithmetic number, because the mean of its divisors is an integer number (13423178382432).

Almost surely, 2404132310013040 is an apocalyptic number.

404132310013040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404132310013040 is an abundant number, since it is smaller than the sum of its proper divisors (669721960581520).

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

404132310013040 is a wasteful number, since it uses less digits than its factorization.

404132310013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11417830 (or 11417824 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 404132310013040 its reverse (40310013231404), we get a palindrome (444442323244444).

The spelling of 404132310013040 in words is "four hundred four trillion, one hundred thirty-two billion, three hundred ten million, thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 63559 127118 254236 317795 444913 508472 635590 889826 1016944 1271180 1779652 2224565 2542360 3559304 4449130 5084720 7118608 8898260 11354251 17796520 22708502 35593040 45417004 56771255 79479757 90834008 113542510 158959514 181668016 227085020 317919028 397398785 454170040 635838056 794797570 908340080 1271676112 1589595140 3179190280 6358380560 721664839309 1443329678618 2886659357236 3608324196545 5051653875163 5773318714472 7216648393090 10103307750326 11546637428944 14433296786180 20206615500652 25258269375815 28866593572360 40413231001304 50516538751630 57733187144720 80826462002608 101033077503260 202066155006520 404132310013040