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41245436240 = 2453713934269
BaseRepresentation
bin100110011010011010…
…110110100101010000
310221110110120020211122
4212122122312211100
51133432312424430
630540424501412
72660046265151
oct463232664520
9127413506748
1041245436240
1116545a78798
127bb101a868
133b740c4a98
141dd3b67928
151115ee9ee5
hex99a6b6950

41245436240 has 40 divisors (see below), whose sum is σ = 98487420360. Its totient is φ = 16052276736.

The previous prime is 41245436161. The next prime is 41245436327. The reversal of 41245436240 is 4263454214.

It can be written as a sum of positive squares in 4 ways, for example, as 1701727504 + 39543708736 = 41252^2 + 198856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 41245436240.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6964175 + ... + 6970094.

It is an arithmetic number, because the mean of its divisors is an integer number (2462185509).

Almost surely, 241245436240 is an apocalyptic number.

41245436240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41245436240 is an abundant number, since it is smaller than the sum of its proper divisors (57241984120).

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

41245436240 is a wasteful number, since it uses less digits than its factorization.

41245436240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13934319 (or 13934313 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 41245436240 in words is "forty-one billion, two hundred forty-five million, four hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 13934269 27868538 55737076 69671345 111474152 139342690 222948304 278685380 515567953 557370760 1031135906 1114741520 2062271812 2577839765 4124543624 5155679530 8249087248 10311359060 20622718120 41245436240