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240314141413042 = 2437541370554367
BaseRepresentation
bin110110101001000001111111…
…000010001000111010110010
31011111212210210201001022102121
4312221001333002020322302
5222444301330200204132
62211034443102304454
7101422060310336314
oct6651017702107262
91144783721038377
10240314141413042
116a63172293a634
1222b525a788812a
13a4126ac377668
14434b3a34097b4
151cbb1c7bd3497
hexda907f088eb2

240314141413042 has 16 divisors (see below), whose sum is σ = 368903177736192. Its totient is φ = 117347156624880.

The previous prime is 240314141413001. The next prime is 240314141413097.

240314141413042 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 240314141412989 and 240314141413007.

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, 184628658 + ... + 185925709.

It is an arithmetic number, because the mean of its divisors is an integer number (23056448608512).

Almost surely, 2240314141413042 is an apocalyptic number.

240314141413042 is a deficient number, since it is larger than the sum of its proper divisors (128589036323150).

240314141413042 is a wasteful number, since it uses less digits than its factorization.

240314141413042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370561953.

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 240314141413042 in words is "two hundred forty trillion, three hundred fourteen billion, one hundred forty-one million, four hundred thirteen thousand, forty-two".

Divisors: 1 2 43 86 7541 15082 324263 648526 370554367 741108734 15933837781 31867675562 2794350481547 5588700963094 120157070706521 240314141413042