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1413036426024 = 2332109311957727
BaseRepresentation
bin10100100011111111100…
…010001100001100101000
312000002021221022212001100
4110203333202030030220
5141122344311113044
63001050122321400
7204042234306006
oct24437742141450
95002257285040
101413036426024
114a52a12520a3
121a9a33059260
13a33306c0722
144c569b37a76
1526b528a9869
hex148ff88c328

1413036426024 has 96 divisors (see below), whose sum is σ = 3863388672000. Its totient is φ = 466533219456.

The previous prime is 1413036426007. The next prime is 1413036426077. The reversal of 1413036426024 is 4206246303141.

1413036426024 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 0 + 3 + 6 + 42 + 602 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1413036426024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24449049 + ... + 24506775.

It is an arithmetic number, because the mean of its divisors is an integer number (40243632000).

Almost surely, 21413036426024 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 1413036426024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931694336000).

1413036426024 is an abundant number, since it is smaller than the sum of its proper divisors (2450352245976).

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

1413036426024 is a wasteful number, since it uses less digits than its factorization.

1413036426024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60967 (or 60960 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 1413036426024 in words is "one trillion, four hundred thirteen billion, thirty-six million, four hundred twenty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3119 3924 6238 7848 9357 12476 18714 24952 28071 37428 56142 57727 74856 112284 115454 173181 224568 230908 339971 346362 461816 519543 679942 692724 1019913 1039086 1359884 1385448 2039826 2078172 2719768 3059739 4079652 4156344 6119478 6292243 8159304 12238956 12584486 18876729 24477912 25168972 37753458 50337944 56630187 75506916 113260374 151013832 180050513 226520748 360101026 453041496 540151539 720202052 1080303078 1440404104 1620454617 2160606156 3240909234 4321212312 6481818468 12963636936 19625505917 39251011834 58876517751 78502023668 117753035502 157004047336 176629553253 235506071004 353259106506 471012142008 706518213012 1413036426024