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2114994840 = 2335723141283
BaseRepresentation
bin111111000010000…
…0100001010011000
312110101201212111020
41332010010022120
513312414313330
6545511402440
7103261105500
oct17604041230
95411655436
102114994840
1199594aa22
124b0383420
1327923b04a
14160c70a00
15c5a2a210
hex7e104298

2114994840 has 384 divisors, whose sum is σ = 7832401920. Its totient is φ = 454809600.

The previous prime is 2114994821. The next prime is 2114994859. The reversal of 2114994840 is 484994112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2114994821) and next prime (2114994859).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2114994792 and 2114994801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7473339 + ... + 7473621.

It is an arithmetic number, because the mean of its divisors is an integer number (20396880).

Almost surely, 22114994840 is an apocalyptic number.

2114994840 is a gapful number since it is divisible by the number (20) 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 2114994840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916200960).

2114994840 is an abundant number, since it is smaller than the sum of its proper divisors (5717407080).

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

2114994840 is a wasteful number, since it uses less digits than its factorization.

2114994840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 2114994840 is about 45989.0730500192. The cubic root of 2114994840 is about 1283.6198882603.

The spelling of 2114994840 in words is "two billion, one hundred fourteen million, nine hundred ninety-four thousand, eight hundred forty".