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1414032240 = 243521112791
BaseRepresentation
bin101010001001000…
…0110101101110000
310122112202021120110
41110102012231300
510343443012430
6352151341320
750020034655
oct12422065560
93575667513
101414032240
11666203395
12335681840
13196c5278a
14d5b25c2c
15842177b0
hex54486b70

1414032240 has 80 divisors (see below), whose sum is σ = 4387147776. Its totient is φ = 376761600.

The previous prime is 1414032229. The next prime is 1414032251. The reversal of 1414032240 is 422304141.

It is an interprime number because it is at equal distance from previous prime (1414032229) and next prime (1414032251).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 505245 + ... + 508035.

Almost surely, 21414032240 is an apocalyptic number.

1414032240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414032240 is an abundant number, since it is smaller than the sum of its proper divisors (2973115536).

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

1414032240 is a wasteful number, since it uses less digits than its factorization.

1414032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1414032240 is about 37603.6200385016. The cubic root of 1414032240 is about 1122.4140743714.

Adding to 1414032240 its reverse (422304141), we get a palindrome (1836336381).

The spelling of 1414032240 in words is "one billion, four hundred fourteen million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2111 2791 4222 5582 6333 8373 8444 10555 11164 12666 13955 16746 16888 21110 22328 25332 27910 31665 33492 33776 41865 42220 44656 50664 55820 63330 66984 83730 84440 101328 111640 126660 133968 167460 168880 223280 253320 334920 506640 669840 5891801 11783602 17675403 23567204 29459005 35350806 47134408 58918010 70701612 88377015 94268816 117836020 141403224 176754030 235672040 282806448 353508060 471344080 707016120 1414032240