Search a number
-
+
42015433451024 = 2411712933486331
BaseRepresentation
bin10011000110110011110101…
…11111000110011000010000
312111202122011210112101222202
421203121322333012120100
521001340101430413044
6225205342413422332
711564341415523605
oct1143317277063020
9174678153471882
1042015433451024
1112429710930060
124866a5779a9a8
131a5a0663cc177
14a537b49806ac
154ccdb7acdc4e
hex26367afc6610

42015433451024 has 40 divisors (see below), whose sum is σ = 88817807543520. Its totient is φ = 19095244819200.

The previous prime is 42015433450993. The next prime is 42015433451077.

42015433451024 is nontrivially palindromic in base 10.

42015433451024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15488462 + ... + 17997869.

It is an arithmetic number, because the mean of its divisors is an integer number (2220445188588).

Almost surely, 242015433451024 is an apocalyptic number.

42015433451024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42015433451024 is an abundant number, since it is smaller than the sum of its proper divisors (46802374092496).

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

42015433451024 is a wasteful number, since it uses less digits than its factorization.

42015433451024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33493479 (or 33493473 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

It can be divided in two parts, 4201543 and 3451024, that added together give a palindrome (7652567).

The spelling of 42015433451024 in words is "forty-two trillion, fifteen billion, four hundred thirty-three million, four hundred fifty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 7129 14258 28516 57032 78419 114064 156838 313676 627352 1254704 33486331 66972662 133945324 267890648 368349641 535781296 736699282 1473398564 2946797128 5893594256 238724053699 477448107398 954896214796 1909792429592 2625964590689 3819584859184 5251929181378 10503858362756 21007716725512 42015433451024