Search a number
-
+
402012770280 = 23351129312771223
BaseRepresentation
bin1011101100110011101…
…01000000111111101000
31102102122221221200202020
411312121311000333220
523041310232122110
6504403200504440
741021152110642
oct5663165007750
91372587850666
10402012770280
11145546801510
1265ab531b120
132bba9637184
1415659623892
15a6cd47ed70
hex5d99d40fe8

402012770280 has 512 divisors, whose sum is σ = 1411176038400. Its totient is φ = 90658713600.

The previous prime is 402012770273. The next prime is 402012770281. The reversal of 402012770280 is 82077210204.

It is a super-2 number, since 2×4020127702802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (402012770281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 328709749 + ... + 328710971.

It is an arithmetic number, because the mean of its divisors is an integer number (2756203200).

Almost surely, 2402012770280 is an apocalyptic number.

402012770280 is a gapful number since it is divisible by the number (40) 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 402012770280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705588019200).

402012770280 is an abundant number, since it is smaller than the sum of its proper divisors (1009163268120).

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

402012770280 is a wasteful number, since it uses less digits than its factorization.

402012770280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

Adding to 402012770280 its reverse (82077210204), we get a palindrome (484089980484).

The spelling of 402012770280 in words is "four hundred two billion, twelve million, seven hundred seventy thousand, two hundred eighty".