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1414187744 = 25418631249
BaseRepresentation
bin101010001001010…
…1100101011100000
310122120001011212212
41110102230223200
510344013001434
6352154541252
750021253224
oct12422545340
93576034785
101414187744
116662aa202
12335737828
13196ca84a8
14d5b66784
15842488ce
hex544acae0

1414187744 has 48 divisors (see below), whose sum is σ = 2857680000. Its totient is φ = 688496640.

The previous prime is 1414187717. The next prime is 1414187771. The reversal of 1414187744 is 4477814141.

It is an interprime number because it is at equal distance from previous prime (1414187717) and next prime (1414187771).

It is a Harshad number since it is a multiple of its sum of digits (41).

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 7 ways as a sum of consecutive naturals, for example, 1131632 + ... + 1132880.

It is an arithmetic number, because the mean of its divisors is an integer number (59535000).

Almost surely, 21414187744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414187744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428840000).

1414187744 is an abundant number, since it is smaller than the sum of its proper divisors (1443492256).

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

1414187744 is a wasteful number, since it uses less digits than its factorization.

1414187744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2155 counting only the distinct ones).

The product of its digits is 100352, while the sum is 41.

The square root of 1414187744 is about 37605.6876549279. The cubic root of 1414187744 is about 1122.4552175824.

The spelling of 1414187744 in words is "one billion, four hundred fourteen million, one hundred eighty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 863 1249 1312 1726 2498 3452 4996 6904 9992 13808 19984 27616 35383 39968 51209 70766 102418 141532 204836 283064 409672 566128 819344 1077887 1132256 1638688 2155774 4311548 8623096 17246192 34492384 44193367 88386734 176773468 353546936 707093872 1414187744