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41087290000 = 245420272
BaseRepresentation
bin100110010000111111…
…100100101010010000
310221001102222120222111
4212100333210222100
51133121321240000
630513015115104
72653116126331
oct462077445220
9127042876874
1041087290000
1116474782119
127b68072a94
133b4a403023
141dbab5c288
1511071abcba
hex990fe4a90

41087290000 has 75 divisors (see below), whose sum is σ = 99525537727. Its totient is φ = 16426808000.

The previous prime is 41087289967. The next prime is 41087290033. The reversal of 41087290000 is 9278014.

The square root of 41087290000 is 202700.

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

It is an interprime number because it is at equal distance from previous prime (41087289967) and next prime (41087290033).

It can be written as a sum of positive squares in 2 ways, for example, as 3221243536 + 37866046464 = 56756^2 + 194592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20268987 + ... + 20271013.

Almost surely, 241087290000 is an apocalyptic number.

41087290000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41087290000 is the 202700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41087290000

41087290000 is an abundant number, since it is smaller than the sum of its proper divisors (58438247727).

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

41087290000 is an frugal number, since it uses more digits than its factorization.

41087290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 41087290000 in words is "forty-one billion, eighty-seven million, two hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2027 2500 4054 5000 8108 10000 10135 16216 20270 32432 40540 50675 81080 101350 162160 202700 253375 405400 506750 810800 1013500 1266875 2027000 2533750 4054000 4108729 5067500 8217458 10135000 16434916 20270000 20543645 32869832 41087290 65739664 82174580 102718225 164349160 205436450 328698320 410872900 513591125 821745800 1027182250 1643491600 2054364500 2567955625 4108729000 5135911250 8217458000 10271822500 20543645000 41087290000