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425462357601400 = 23527303901684001
BaseRepresentation
bin110000010111101001010110…
…0101100001010110001111000
32001210102210201020020111002011
41200233102230230022301320
5421231233402021221100
64104514413033415304
7155421432563333530
oct14057225454126170
92053383636214064
10425462357601400
111136246330a3459
123b87555686a534
1315352c0b253672
14770c6b90484c0
15342c3bb7d0bba
hex182f4acb0ac78

425462357601400 has 48 divisors (see below), whose sum is σ = 1130514264487440. Its totient is φ = 145872808320000.

The previous prime is 425462357601397. The next prime is 425462357601403. The reversal of 425462357601400 is 4106753264524.

It is an interprime number because it is at equal distance from previous prime (425462357601397) and next prime (425462357601403).

It is a super-2 number, since 2×4254623576014002 (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425462357601403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151950840601 + ... + 151950843400.

It is an arithmetic number, because the mean of its divisors is an integer number (23552380510155).

Almost surely, 2425462357601400 is an apocalyptic number.

425462357601400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425462357601400 is an abundant number, since it is smaller than the sum of its proper divisors (705051906886040).

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

425462357601400 is a wasteful number, since it uses less digits than its factorization.

425462357601400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303901684024 (or 303901684015 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

The spelling of 425462357601400 in words is "four hundred twenty-five trillion, four hundred sixty-two billion, three hundred fifty-seven million, six hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 303901684001 607803368002 1215606736004 1519508420005 2127311788007 2431213472008 3039016840010 4254623576014 6078033680020 7597542100025 8509247152028 10636558940035 12156067360040 15195084200050 17018494304056 21273117880070 30390168400100 42546235760140 53182794700175 60780336800200 85092471520280 106365589400350 212731178800700 425462357601400