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2433440641434 = 2311972391590403
BaseRepresentation
bin100011011010010100010…
…111010111000110011010
322121122010122212211002020
4203122110113113012122
5304332141301011214
65101523542115310
7340544633111355
oct43322427270632
98548118784066
102433440641434
1185901a891030
1233374a41bb36
1314861b0200ba
1485aca00729c
15434755d44a9
hex236945d719a

2433440641434 has 64 divisors (see below), whose sum is σ = 5386507499520. Its totient is φ = 726750097920.

The previous prime is 2433440641409. The next prime is 2433440641439. The reversal of 2433440641434 is 4341460443342.

2433440641434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2433440641439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734877 + ... + 2325279.

It is an arithmetic number, because the mean of its divisors is an integer number (84164179680).

Almost surely, 22433440641434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2433440641434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693253749760).

2433440641434 is an abundant number, since it is smaller than the sum of its proper divisors (2953066858086).

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

2433440641434 is a wasteful number, since it uses less digits than its factorization.

2433440641434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590755.

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 2433440641434 in words is "two trillion, four hundred thirty-three billion, four hundred forty million, six hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 97 194 239 291 478 582 717 1067 1434 2134 2629 3201 5258 6402 7887 15774 23183 46366 69549 139098 255013 510026 765039 1530078 1590403 3180806 4771209 9542418 17494433 34988866 52483299 104966598 154269091 308538182 380106317 462807273 760212634 925614546 1140318951 1696960001 2280637902 3393920002 4181169487 5090880003 8362338974 10181760006 12543508461 25087016922 36870312749 73740625498 110610938247 221221876494 405573440239 811146880478 1216720320717 2433440641434