Search a number
-
+
10402143112032 = 25371724131312071
BaseRepresentation
bin1001011101011111000000…
…0010111000101101100000
31100211102202020102222211220
42113113300002320231200
52330412042114041112
634042402323335040
72122346542401330
oct227276002705540
940742666388756
1010402143112032
113350584670191
121200008821480
135a5bc179a899
1427d675ba10c0
151308b4a6c98c
hex975f00b8b60

10402143112032 has 384 divisors, whose sum is σ = 33287967111168. Its totient is φ = 2776478515200.

The previous prime is 10402143111967. The next prime is 10402143112093. The reversal of 10402143112032 is 23021134120401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10402143111993 and 10402143112011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 861740557 + ... + 861752627.

It is an arithmetic number, because the mean of its divisors is an integer number (86687414352).

Almost surely, 210402143112032 is an apocalyptic number.

10402143112032 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 10402143112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643983555584).

10402143112032 is an abundant number, since it is smaller than the sum of its proper divisors (22885823999136).

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

10402143112032 is a wasteful number, since it uses less digits than its factorization.

10402143112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12662 (or 12654 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10402143112032 its reverse (23021134120401), we get a palindrome (33423277232433).

The spelling of 10402143112032 in words is "ten trillion, four hundred two billion, one hundred forty-three million, one hundred twelve thousand, thirty-two".