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2114240424 = 233314496329
BaseRepresentation
bin111111000000100…
…1011111110101000
312110100022112121220
41332001023332220
513312221143144
6545443302040
7103251514152
oct17601137650
95410275556
102114240424
1199548513a
124b007a920
1327903584a
14160b15ad2
15c592b919
hex7e04bfa8

2114240424 has 64 divisors (see below), whose sum is σ = 5469120000. Its totient is φ = 680386560.

The previous prime is 2114240413. The next prime is 2114240441. The reversal of 2114240424 is 4240424112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2114240394 and 2114240403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330892 + ... + 337220.

It is an arithmetic number, because the mean of its divisors is an integer number (85455000).

Almost surely, 22114240424 is an apocalyptic number.

2114240424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114240424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734560000).

2114240424 is an abundant number, since it is smaller than the sum of its proper divisors (3354879576).

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

2114240424 is a wasteful number, since it uses less digits than its factorization.

2114240424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2114240424 is about 45980.8701962022. The cubic root of 2114240424 is about 1283.4672482433.

Adding to 2114240424 its reverse (4240424112), we get a palindrome (6354664536).

The spelling of 2114240424 in words is "two billion, one hundred fourteen million, two hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 449 744 898 1347 1796 2694 3592 5388 6329 10776 12658 13919 18987 25316 27838 37974 41757 50632 55676 75948 83514 111352 151896 167028 196199 334056 392398 588597 784796 1177194 1569592 2354388 2841721 4708776 5683442 8525163 11366884 17050326 22733768 34100652 68201304 88093351 176186702 264280053 352373404 528560106 704746808 1057120212 2114240424