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1994380149312 = 263497101107367
BaseRepresentation
bin11101000001011010010…
…100100000001001000000
321001122211210002212010000
4131001122110200021000
5230133442304234222
64124112224040000
7264042412363515
oct35013224401100
97048753085100
101994380149312
116a98a2667891
12282635a63000
131160b9179735
146c75835930c
1536d299369ac
hex1d05a520240

1994380149312 has 560 divisors, whose sum is σ = 6105017495808. Its totient is φ = 643579084800.

The previous prime is 1994380149257. The next prime is 1994380149331. The reversal of 1994380149312 is 2139410834991.

1994380149312 is a `hidden beast` number, since 1 + 9 + 94 + 380 + 149 + 31 + 2 = 666.

It is a super-3 number, since 3×19943801493123 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5434278153 + ... + 5434278519.

Almost surely, 21994380149312 is an apocalyptic number.

1994380149312 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 1994380149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052508747904).

1994380149312 is an abundant number, since it is smaller than the sum of its proper divisors (4110637346496).

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

1994380149312 is a wasteful number, since it uses less digits than its factorization.

1994380149312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1994380149312 in words is "one trillion, nine hundred ninety-four billion, three hundred eighty million, one hundred forty-nine thousand, three hundred twelve".