Search a number
-
+
21434669014512 = 243131931411422437
BaseRepresentation
bin1001101111110101001011…
…10101010001110111110000
32210220010121221022201100010
410313322211311101313300
510302141200231431022
6113330541230054520
74341414036313665
oct467724565216760
983803557281303
1021434669014512
116914434949036
1224a222334a440
13bc6385685080
1454162d015a6c
1527287199650c
hex137ea5d51df0

21434669014512 has 320 divisors, whose sum is σ = 66376191651840. Its totient is φ = 5899126579200.

The previous prime is 21434669014511. The next prime is 21434669014513. The reversal of 21434669014512 is 21541096643412.

It is an interprime number because it is at equal distance from previous prime (21434669014511) and next prime (21434669014513).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21434669014511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14357758 + ... + 15780194.

It is an arithmetic number, because the mean of its divisors is an integer number (207425598912).

Almost surely, 221434669014512 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 21434669014512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33188095825920).

21434669014512 is an abundant number, since it is smaller than the sum of its proper divisors (44941522637328).

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

21434669014512 is a wasteful number, since it uses less digits than its factorization.

21434669014512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422552 (or 1422546 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 21434669014512 in words is "twenty-one trillion, four hundred thirty-four billion, six hundred sixty-nine million, fourteen thousand, five hundred twelve".