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1402269998976 = 273571121731101
BaseRepresentation
bin10100011001111101110…
…011100001111110000000
311222001111121101200200000
4110121331303201332000
5140433322104431401
62552105520400000
7203211362216610
oct24317563417600
94861447350600
101402269998976
114a0776948100
121a7929476000
13a2305ca6732
144bc27ca8a40
15267225a7186
hex1467dce1f80

1402269998976 has 2304 divisors, whose sum is σ = 5802375720960. Its totient is φ = 328458240000.

The previous prime is 1402269998953. The next prime is 1402269999047. The reversal of 1402269998976 is 6798999622041.

1402269998976 is a `hidden beast` number, since 1 + 402 + 2 + 69 + 9 + 98 + 9 + 76 = 666.

It is a super-2 number, since 2×14022699989762 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13883861326 + ... + 13883861426.

It is an arithmetic number, because the mean of its divisors is an integer number (2518392240).

Almost surely, 21402269998976 is an apocalyptic number.

1402269998976 is a gapful number since it is divisible by the number (16) 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 1402269998976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901187860480).

1402269998976 is an abundant number, since it is smaller than the sum of its proper divisors (4400105721984).

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

1402269998976 is a wasteful number, since it uses less digits than its factorization.

1402269998976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 1402269998976 in words is "one trillion, four hundred two billion, two hundred sixty-nine million, nine hundred ninety-eight thousand, nine hundred seventy-six".