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1014324021432 = 2332149719131501
BaseRepresentation
bin11101100001010100110…
…11000100100010111000
310120222010222121002220100
432300222123010202320
5113104313422141212
62053550215555400
7133165615632321
oct16605233044270
93528128532810
101014324021432
11361199515237
121446bb08bb60
137485ba66177
1437144987448
151b5b9050bdc
hexec2a6c48b8

1014324021432 has 96 divisors (see below), whose sum is σ = 2769432120000. Its totient is φ = 335369184000.

The previous prime is 1014324021383. The next prime is 1014324021443. The reversal of 1014324021432 is 2341204234101.

1014324021432 is a `hidden beast` number, since 10 + 1 + 432 + 4 + 0 + 214 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1014324021396 and 1014324021405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7647682 + ... + 7779182.

It is an arithmetic number, because the mean of its divisors is an integer number (28848251250).

Almost surely, 21014324021432 is an apocalyptic number.

1014324021432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014324021432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384716060000).

1014324021432 is an abundant number, since it is smaller than the sum of its proper divisors (1755108098568).

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

1014324021432 is a wasteful number, since it uses less digits than its factorization.

1014324021432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132381 (or 132374 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1014324021432 its reverse (2341204234101), we get a palindrome (3355528255533).

The spelling of 1014324021432 in words is "one trillion, fourteen billion, three hundred twenty-four million, twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 719 894 1192 1341 1438 1788 2157 2682 2876 3576 4314 5364 5752 6471 8628 10728 12942 17256 25884 51768 107131 131501 214262 263002 321393 394503 428524 526004 642786 789006 857048 964179 1052008 1183509 1285572 1578012 1928358 2367018 2571144 3156024 3856716 4734036 7713432 9468072 19593649 39187298 58780947 78374596 94549219 117561894 156749192 176342841 189098438 235123788 283647657 352685682 378196876 470247576 567295314 705371364 756393752 850942971 1134590628 1410742728 1701885942 2269181256 3403771884 6807543768 14087833631 28175667262 42263500893 56351334524 84527001786 112702669048 126790502679 169054003572 253581005358 338108007144 507162010716 1014324021432