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1414008372 = 2237167100799
BaseRepresentation
bin101010001001000…
…0000111000110100
310122112201001211110
41110102000320310
510343441231442
6352151035020
750016605250
oct12422007064
93575631743
101414008372
11666197467
1233566ba70
13196c4495a
14d5b1b260
158421069c
hex54480e34

1414008372 has 48 divisors (see below), whose sum is σ = 3793305600. Its totient is φ = 401579232.

The previous prime is 1414008347. The next prime is 1414008377. The reversal of 1414008372 is 2738004141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414008377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36372 + ... + 64427.

It is an arithmetic number, because the mean of its divisors is an integer number (79027200).

Almost surely, 21414008372 is an apocalyptic number.

1414008372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1414008372 is an abundant number, since it is smaller than the sum of its proper divisors (2379297228).

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

1414008372 is a wasteful number, since it uses less digits than its factorization.

1414008372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100980 (or 100978 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1414008372 is about 37603.3026741003. The cubic root of 1414008372 is about 1122.4077591146.

The spelling of 1414008372 in words is "one billion, four hundred fourteen million, eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 167 334 501 668 1002 1169 2004 2338 3507 4676 7014 14028 100799 201598 302397 403196 604794 705593 1209588 1411186 2116779 2822372 4233558 8467116 16833433 33666866 50500299 67333732 101000598 117834031 202001196 235668062 353502093 471336124 707004186 1414008372