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14213412411040 = 255634731399553
BaseRepresentation
bin1100111011010101000101…
…1001011101011010100000
31212022210022011000201022101
43032311101121131122200
53330333032034123130
650121315043420144
72664612416044543
oct316652131353240
955283264021271
1014213412411040
11458a968843807
1217167a3084654
137c141bc104cb
14371d0b99085a
15199acbada1ca
hexced5165d6a0

14213412411040 has 48 divisors (see below), whose sum is σ = 33579739845288. Its totient is φ = 5685271330816.

The previous prime is 14213412410933. The next prime is 14213412411053. The reversal of 14213412411040 is 4011421431241.

It is a happy number.

14213412411040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13548907021456 + 664505389584 = 3680884^2 + 815172^2 .

It is a super-3 number, since 3×142134124110403 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9455904 + ... + 10855456.

Almost surely, 214213412411040 is an apocalyptic number.

14213412411040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14213412411040 is an abundant number, since it is smaller than the sum of its proper divisors (19366327434248).

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

14213412411040 is a wasteful number, since it uses less digits than its factorization.

14213412411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463041 (or 1463033 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 14213412411040 its reverse (4011421431241), we get a palindrome (18224833842281).

The spelling of 14213412411040 in words is "fourteen trillion, two hundred thirteen billion, four hundred twelve million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 63473 126946 253892 317365 507784 634730 1015568 1269460 1399553 2031136 2538920 2799106 5077840 5598212 6997765 10155680 11196424 13995530 22392848 27991060 44785696 55982120 111964240 223928480 88833827569 177667655138 355335310276 444169137845 710670620552 888338275690 1421341241104 1776676551380 2842682482208 3553353102760 7106706205520 14213412411040