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634250213040 = 243519139089959
BaseRepresentation
bin10010011101011000100…
…00100011011010110000
32020122002222200011002010
421032230100203122300
540342421023304130
61203212011122520
763552211600353
oct11165420433260
92218088604063
10634250213040
11224a9078a594
12a2b09143440
1347a6a72c662
14229aad7629a
1511771b940b0
hex93ac4236b0

634250213040 has 80 divisors (see below), whose sum is σ = 2069658604800. Its totient is φ = 160231631616.

The previous prime is 634250212993. The next prime is 634250213041. The reversal of 634250213040 is 40312052436.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 634250212989 and 634250213007.

It is not an unprimeable number, because it can be changed into a prime (634250213041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69540420 + ... + 69549539.

It is an arithmetic number, because the mean of its divisors is an integer number (25870732560).

Almost surely, 2634250213040 is an apocalyptic number.

634250213040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

634250213040 is an abundant number, since it is smaller than the sum of its proper divisors (1435408391760).

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

634250213040 is a wasteful number, since it uses less digits than its factorization.

634250213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139089994 (or 139089988 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 634250213040 its reverse (40312052436), we get a palindrome (674562265476).

The spelling of 634250213040 in words is "six hundred thirty-four billion, two hundred fifty million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 139089959 278179918 417269877 556359836 695449795 834539754 1112719672 1390899590 1669079508 2086349385 2225439344 2642709221 2781799180 3338159016 4172698770 5285418442 5563598360 6676318032 7928127663 8345397540 10570836884 11127196720 13213546105 15856255326 16690795080 21141673768 26427092210 31712510652 33381590160 39640638315 42283347536 52854184420 63425021304 79281276630 105708368840 126850042608 158562553260 211416737680 317125106520 634250213040