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1422157376304 = 24327103111712263
BaseRepresentation
bin10100101100011111001…
…011110110101100110000
312000221211121000010122200
4110230133023312230300
5141300034242020204
63005155144103200
7204514246146540
oct24543713665460
95027747003580
101422157376304
114a9151844035
121ab759764b00
13a415523b322
144cb93235320
1526ed84c8539
hex14b1f2f6b30

1422157376304 has 240 divisors, whose sum is σ = 4597294420992. Its totient is φ = 401992699392.

The previous prime is 1422157376287. The next prime is 1422157376333. The reversal of 1422157376304 is 4036737512241.

It is a happy number.

1422157376304 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 1 + 5 + 7 + 3 + 7 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1422157376304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115965277 + ... + 115977539.

Almost surely, 21422157376304 is an apocalyptic number.

1422157376304 is a gapful number since it is divisible by the number (14) 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 1422157376304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298647210496).

1422157376304 is an abundant number, since it is smaller than the sum of its proper divisors (3175137044688).

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

1422157376304 is a wasteful number, since it uses less digits than its factorization.

1422157376304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13504 (or 13495 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 1422157376304 in words is "one trillion, four hundred twenty-two billion, one hundred fifty-seven million, three hundred seventy-six thousand, three hundred four".