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141518916100 = 2252376192
BaseRepresentation
bin1000001111001100101…
…1110100101000000100
3111112021200210210221001
42003303023310220010
54304312320303400
6145002441303044
713136653640062
oct2036313645004
9445250723831
10141518916100
1155021814301
1223516494a84
1310464478213
146bc7257032
153a34255a6a
hex20f32f4a04

141518916100 has 27 divisors (see below), whose sum is σ = 307104211477. Its totient is φ = 56606061680.

The previous prime is 141518916089. The next prime is 141518916101. The reversal of 141518916100 is 1619815141.

The square root of 141518916100 is 376190.

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

It can be written as a sum of positive squares in only one way, i.e., 50946809796 + 90572106304 = 225714^2 + 300952^2 .

It is a super-2 number, since 2×1415189161002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 141518916100.

It is not an unprimeable number, because it can be changed into a prime (141518916101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3743091 + ... + 3780709.

Almost surely, 2141518916100 is an apocalyptic number.

141518916100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141518916100 is the 376190-th square number.

It is an amenable number.

141518916100 is an abundant number, since it is smaller than the sum of its proper divisors (165585295377).

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

141518916100 is an frugal number, since it uses more digits than its factorization.

141518916100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75252 (or 37626 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 37.

The spelling of 141518916100 in words is "one hundred forty-one billion, five hundred eighteen million, nine hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 37619 75238 150476 188095 376190 752380 940475 1880950 3761900 1415189161 2830378322 5660756644 7075945805 14151891610 28303783220 35379729025 70759458050 141518916100