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1390274150400 = 218375297
BaseRepresentation
bin10100001110110010110…
…011000000000000000000
311220220112121002110000000
4110032302303000000000
5140234240140303100
62542403320000000
7202305201203262
oct24166263000000
94826477073000
101390274150400
11496680571563
121a5540000000
13a1143966695
144b40aa4bb32
152626e3a6900
hex143b2cc0000

1390274150400 has 912 divisors, whose sum is σ = 5224331211680. Its totient is φ = 366917713920.

The previous prime is 1390274150389. The next prime is 1390274150407. The reversal of 1390274150400 is 40514720931.

1390274150400 is a `hidden beast` number, since 1 + 3 + 90 + 27 + 41 + 504 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390274150407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14332723152 + ... + 14332723248.

Almost surely, 21390274150400 is an apocalyptic number.

1390274150400 is a gapful number since it is divisible by the number (10) 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 1390274150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612165605840).

1390274150400 is an abundant number, since it is smaller than the sum of its proper divisors (3834057061280).

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

1390274150400 is an frugal number, since it uses more digits than its factorization.

1390274150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1390274150400 in words is "one trillion, three hundred ninety billion, two hundred seventy-four million, one hundred fifty thousand, four hundred".