Search a number
-
+
2420314911 = 34741104113
BaseRepresentation
bin1001000001000011…
…0001001100011111
320020200020201220000
42100100301030133
514424100034121
61040055425343
7113656223460
oct22020611437
96220221800
102420314911
111032228463
12576685253
132c757c501
1418d62ad67
15e273a526
hex9043131f

2420314911 has 40 divisors (see below), whose sum is σ = 4232858784. Its totient is φ = 1349291520.

The previous prime is 2420314879. The next prime is 2420314913. The reversal of 2420314911 is 1194130242.

It is a happy number.

It is not a de Polignac number, because 2420314911 - 25 = 2420314879 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420314913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28810 + ... + 75303.

Almost surely, 22420314911 is an apocalyptic number.

2420314911 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2420314911 is a deficient number, since it is larger than the sum of its proper divisors (1812543873).

2420314911 is a wasteful number, since it uses less digits than its factorization.

2420314911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104173 (or 104164 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2420314911 is about 49196.6961390702. The cubic root of 2420314911 is about 1342.6329221405.

The spelling of 2420314911 in words is "two billion, four hundred twenty million, three hundred fourteen thousand, nine hundred eleven".

Divisors: 1 3 7 9 21 27 41 63 81 123 189 287 369 567 861 1107 2583 3321 7749 23247 104113 312339 728791 937017 2186373 2811051 4268633 6559119 8433153 12805899 19677357 29880431 38417697 59032071 89641293 115253091 268923879 345759273 806771637 2420314911