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40396980100 = 225210121992
BaseRepresentation
bin100101100111110110…
…001111111110000100
310212021100001012211011
4211213312033332010
51130213111330400
630320315252004
72630034444121
oct454766177604
9125240035734
1040396980100
1116150051074
1279b4a4a004
133a6a3a7429
141d531c7748
1510b67a08ba
hex967d8ff84

40396980100 has 81 divisors (see below), whose sum is σ = 88985125551. Its totient is φ = 15918408000.

The previous prime is 40396980053. The next prime is 40396980119. The reversal of 40396980100 is 108969304.

The square root of 40396980100 is 200990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7459085956 + 32937894144 = 86366^2 + 181488^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 202999801 + ... + 202999999.

Almost surely, 240396980100 is an apocalyptic number.

40396980100 is the 200990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40396980100

40396980100 is an abundant number, since it is smaller than the sum of its proper divisors (48588145451).

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

40396980100 is a wasteful number, since it uses less digits than its factorization.

40396980100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 40396980100 in words is "forty billion, three hundred ninety-six million, nine hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 199 202 398 404 505 796 995 1010 1990 2020 2525 3980 4975 5050 9950 10100 10201 19900 20099 20402 39601 40198 40804 51005 79202 80396 100495 102010 158404 198005 200990 204020 255025 396010 401980 502475 510050 792020 990025 1004950 1020100 1980050 2009900 2029999 3960100 3999701 4059998 7999402 8119996 10149995 15998804 19998505 20299990 39997010 40599980 50749975 79994020 99992525 101499950 199985050 202999900 399970100 403969801 807939602 1615879204 2019849005 4039698010 8079396020 10099245025 20198490050 40396980100