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41290635372 = 22372101695269
BaseRepresentation
bin100110011101000111…
…010001100001101100
310221120121121121101120
4212131013101201230
51134030400312442
630545121340540
72661135416100
oct463507214154
9127517547346
1041290635372
111656953a548
128004197750
133b8058bc2c
141dd9b71900
151119e774ec
hex99d1d186c

41290635372 has 72 divisors (see below), whose sum is σ = 113184393840. Its totient is φ = 11680502400.

The previous prime is 41290635371. The next prime is 41290635481. The reversal of 41290635372 is 27353609214.

It is a super-3 number, since 3×412906353723 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (41290635371) 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 23 ways as a sum of consecutive naturals, for example, 288247 + ... + 407022.

It is an arithmetic number, because the mean of its divisors is an integer number (1572005470).

Almost surely, 241290635372 is an apocalyptic number.

41290635372 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41290635372 is an abundant number, since it is smaller than the sum of its proper divisors (71893758468).

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

41290635372 is a wasteful number, since it uses less digits than its factorization.

41290635372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695391 (or 695382 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 41290635372 in words is "forty-one billion, two hundred ninety million, six hundred thirty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 101 147 196 202 294 303 404 588 606 707 1212 1414 2121 2828 4242 4949 8484 9898 14847 19796 29694 59388 695269 1390538 2085807 2781076 4171614 4866883 8343228 9733766 14600649 19467532 29201298 34068181 58402596 68136362 70222169 102204543 136272724 140444338 204409086 210666507 280888676 408818172 421333014 491555183 842666028 983110366 1474665549 1966220732 2949331098 3440886281 5898662196 6881772562 10322658843 13763545124 20645317686 41290635372