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4012414313404 = 2272374507122761
BaseRepresentation
bin111010011000110110100…
…001111010001110111100
3112012120202001102011102111
4322120312201322032330
51011214411031012104
612311135551503404
7562613236634500
oct72306641721674
915176661364374
104012414313404
111307723305012
12549771527b64
132314a4a43803
14dc2b7daa300
156e58acba404
hex3a63687a3bc

4012414313404 has 72 divisors (see below), whose sum is σ = 8390819037552. Its totient is φ = 1672745437440.

The previous prime is 4012414313393. The next prime is 4012414313407. The reversal of 4012414313404 is 4043134142104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012414313407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32623384 + ... + 32746144.

Almost surely, 24012414313404 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 4012414313404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195409518776).

4012414313404 is an abundant number, since it is smaller than the sum of its proper divisors (4378404724148).

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

4012414313404 is a wasteful number, since it uses less digits than its factorization.

4012414313404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127323 (or 127314 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 4012414313404 its reverse (4043134142104), we get a palindrome (8055548455508).

The spelling of 4012414313404 in words is "four trillion, twelve billion, four hundred fourteen million, three hundred thirteen thousand, four hundred four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 1036 1813 3626 4507 7252 9014 18028 31549 63098 122761 126196 166759 220843 245522 333518 441686 491044 667036 859327 883372 1167313 1718654 2334626 3437308 4542157 4669252 6015289 8171191 9084314 12030578 16342382 18168628 24061156 31795099 32684764 63590198 127180396 222565693 445131386 553283827 890262772 1106567654 2213135308 3872986789 7745973578 15491947156 20471501599 27110907523 40943003198 54221815046 81886006396 108443630092 143300511193 286601022386 573202044772 1003103578351 2006207156702 4012414313404