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1401031779840 = 2935571122659
BaseRepresentation
bin10100011000110100000…
…000000110011000000000
311221221022022110122100000
4110120310000012120000
5140423303113423330
62551343005200000
7203135605431360
oct24306400063000
94857268418300
101401031779840
114a01a0a07800
121a7642860000
13a21695c01a4
144bb4b66a9a0
152669da1c560
hex14634006600

1401031779840 has 1440 divisors, whose sum is σ = 6323412775680. Its totient is φ = 291014000640.

The previous prime is 1401031779839. The next prime is 1401031779841. The reversal of 1401031779840 is 489771301041.

It is an interprime number because it is at equal distance from previous prime (1401031779839) and next prime (1401031779841).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401031779841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 526900431 + ... + 526903089.

It is an arithmetic number, because the mean of its divisors is an integer number (4391258872).

Almost surely, 21401031779840 is an apocalyptic number.

1401031779840 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 1401031779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161706387840).

1401031779840 is an abundant number, since it is smaller than the sum of its proper divisors (4922380995840).

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

1401031779840 is an equidigital number, since it uses as much as digits as its factorization.

1401031779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1401031779840 in words is "one trillion, four hundred one billion, thirty-one million, seven hundred seventy-nine thousand, eight hundred forty".