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741044768040 = 23345228717521
BaseRepresentation
bin10101100100010011011…
…01011100110100101000
32121211202200110122120000
422302021231130310220
544120124430034130
61324233053103000
7104352531412203
oct12621155346450
92554680418500
10741044768040
112663034a83a5
12bb752487a60
1354b59b02535
1427c1c55493a
1514422665260
hexac89b5cd28

741044768040 has 80 divisors (see below), whose sum is σ = 2490733814580. Its totient is φ = 197611937280.

The previous prime is 741044768039. The next prime is 741044768041. The reversal of 741044768040 is 40867440147.

It is a happy number.

741044768040 is a `hidden beast` number, since 74 + 104 + 476 + 8 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (741044768039) and next prime (741044768041).

It can be written as a sum of positive squares in 2 ways, for example, as 716051055204 + 24993712836 = 846198^2 + 158094^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (741044768041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114355521 + ... + 114362000.

Almost surely, 2741044768040 is an apocalyptic number.

It is an amenable number.

741044768040 is an abundant number, since it is smaller than the sum of its proper divisors (1749689046540).

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

741044768040 is a wasteful number, since it uses less digits than its factorization.

741044768040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228717544 (or 228717531 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 741044768040 in words is "seven hundred forty-one billion, forty-four million, seven hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 228717521 457435042 686152563 914870084 1143587605 1372305126 1829740168 2058457689 2287175210 2744610252 3430762815 4116915378 4574350420 5489220504 6175373067 6861525630 8233830756 9148700840 10292288445 12350746134 13723051260 16467661512 18526119201 20584576890 24701492268 27446102520 30876865335 37052238402 41169153780 49402984536 61753730670 74104476804 82338307560 92630596005 123507461340 148208953608 185261192010 247014922680 370522384020 741044768040