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3130678490940 = 22355711133120759
BaseRepresentation
bin101101100011101010111…
…110101011011100111100
3102002021211100220102200000
4231203222332223130330
5402243112143202230
610354114105034300
7442120063050120
oct55435276533474
912067740812600
103130678490940
11aa7793434120
124268b5a85990
131992b6152860
14ab75053b580
1556681e2bb60
hex2d8eafab73c

3130678490940 has 1152 divisors, whose sum is σ = 13649830871040. Its totient is φ = 581091148800.

The previous prime is 3130678490843. The next prime is 3130678490977. The reversal of 3130678490940 is 490948760313.

It is a happy number.

3130678490940 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 67 + 8 + 490 + 94 + 0 = 666.

It is a super-3 number, since 3×31306784909403 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 150800281 + ... + 150821039.

It is an arithmetic number, because the mean of its divisors is an integer number (11848811520).

Almost surely, 23130678490940 is an apocalyptic number.

3130678490940 is a gapful number since it is divisible by the number (30) 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 3130678490940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824915435520).

3130678490940 is an abundant number, since it is smaller than the sum of its proper divisors (10519152380100).

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

3130678490940 is a wasteful number, since it uses less digits than its factorization.

3130678490940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20845 (or 20831 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3130678490940 in words is "three trillion, one hundred thirty billion, six hundred seventy-eight million, four hundred ninety thousand, nine hundred forty".