Search a number
-
+
40741207668888 = 23331233313750863
BaseRepresentation
bin10010100001101110011010…
…01101011111100010011000
312100020211011210220212211020
421100313031031133202120
520320000443130401023
6222352130305002440
711403312051216426
oct1120671515374230
9170224153825736
1040741207668888
1111a88281676271
12469bb04023420
131996b58064c1c
14a0bc56516116
154a9b8b80dde3
hex250dcd35f898

40741207668888 has 128 divisors (see below), whose sum is σ = 105927327866880. Its totient is φ = 13044094801920.

The previous prime is 40741207668881. The next prime is 40741207668893. The reversal of 40741207668888 is 88886670214704.

40741207668888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40741207668881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53883745 + ... + 54634607.

It is an arithmetic number, because the mean of its divisors is an integer number (827557248960).

Almost surely, 240741207668888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40741207668888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52963663933440).

40741207668888 is an abundant number, since it is smaller than the sum of its proper divisors (65186120197992).

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

40741207668888 is a wasteful number, since it uses less digits than its factorization.

40741207668888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751449 (or 751445 counting only the distinct ones).

The product of its (nonzero) digits is 231211008, while the sum is 69.

The spelling of 40741207668888 in words is "forty trillion, seven hundred forty-one billion, two hundred seven million, six hundred sixty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 233 248 313 372 466 626 699 744 932 939 1252 1398 1864 1878 2504 2796 3756 5592 7223 7512 9703 14446 19406 21669 28892 29109 38812 43338 57784 58218 72929 77624 86676 116436 145858 173352 218787 232872 291716 437574 583432 750863 875148 1501726 1750296 2252589 2260799 3003452 4505178 4521598 6006904 6782397 9010356 9043196 13564794 18020712 18086392 23276753 27129588 46553506 54259176 69830259 93107012 139660518 174951079 186214024 235020119 279321036 349902158 470040238 524853237 558642072 699804316 705060357 940080476 1049706474 1399608632 1410120714 1880160952 2099412948 2820241428 4198825896 5423483449 5640482856 7285623689 10846966898 14571247378 16270450347 21693933796 21856871067 29142494756 32540900694 43387867592 43713742134 54759687727 58284989512 65081801388 87427484268 109519375454 130163602776 164279063181 174854968536 219038750908 328558126362 438077501816 657116252724 1314232505448 1697550319537 3395100639074 5092650958611 6790201278148 10185301917222 13580402556296 20370603834444 40741207668888