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2414325042 = 23523435023
BaseRepresentation
bin1000111111100111…
…1010110100110010
320020020222102100000
42033321322310302
514421031400132
61035323210430
7113554265343
oct21771726462
96206872300
102414325042
111029907158
12574676a16
132c6262ccc
1418c90c0ca
15e1e5587c
hex8fe7ad32

2414325042 has 96 divisors (see below), whose sum is σ = 5793435648. Its totient is φ = 751733136.

The previous prime is 2414325037. The next prime is 2414325061. The reversal of 2414325042 is 2405234142.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 2414324997 and 2414325015.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 478143 + ... + 483165.

It is an arithmetic number, because the mean of its divisors is an integer number (60348288).

Almost surely, 22414325042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414325042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896717824).

2414325042 is an abundant number, since it is smaller than the sum of its proper divisors (3379110606).

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

2414325042 is a wasteful number, since it uses less digits than its factorization.

2414325042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2414325042 is about 49135.7816870761. The cubic root of 2414325042 is about 1341.5244109056.

Adding to 2414325042 its reverse (2405234142), we get a palindrome (4819559184).

The spelling of 2414325042 in words is "two billion, four hundred fourteen million, three hundred twenty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 27 43 46 54 69 81 86 129 138 162 207 243 258 387 414 486 621 774 989 1161 1242 1863 1978 2322 2967 3483 3726 5023 5589 5934 6966 8901 10046 10449 11178 15069 17802 20898 26703 30138 45207 53406 80109 90414 115529 135621 160218 215989 231058 240327 271242 346587 406863 431978 480654 647967 693174 813726 1039761 1220589 1295934 1943901 2079522 2441178 3119283 3887802 4967747 5831703 6238566 9357849 9935494 11663406 14903241 17495109 18715698 28073547 29806482 34990218 44709723 52485327 56147094 89419446 104970654 134129169 268258338 402387507 804775014 1207162521 2414325042