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1414713440 = 25572354919
BaseRepresentation
bin101010001010010…
…1101000001100000
310122121000220000002
41110110231001200
510344131312230
6352214115132
750025602660
oct12424550140
93577026002
101414713440
11666629168
1233594baa8
1319713085a
14d5c621a0
15842ee545
hex5452d060

1414713440 has 96 divisors (see below), whose sum is σ = 3985873920. Its totient is φ = 463947264.

The previous prime is 1414713379. The next prime is 1414713449. The reversal of 1414713440 is 443174141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414713449) 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, 1700 + ... + 53219.

It is an arithmetic number, because the mean of its divisors is an integer number (41519520).

Almost surely, 21414713440 is an apocalyptic number.

1414713440 is a gapful number since it is divisible by the number (10) 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 1414713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992936960).

1414713440 is an abundant number, since it is smaller than the sum of its proper divisors (2571160480).

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

1414713440 is a wasteful number, since it uses less digits than its factorization.

1414713440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54964 (or 54956 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 1414713440 is about 37612.6765864914. The cubic root of 1414713440 is about 1122.5942837754.

Adding to 1414713440 its reverse (443174141), we get a palindrome (1857887581).

The spelling of 1414713440 in words is "one billion, four hundred fourteen million, seven hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 5152 6440 12880 25760 54919 109838 219676 274595 384433 439352 549190 768866 878704 1098380 1263137 1537732 1757408 1922165 2196760 2526274 3075464 3844330 4393520 5052548 6150928 6315685 7688660 8787040 8841959 10105096 12301856 12631370 15377320 17683918 20210192 25262740 30754640 35367836 40420384 44209795 50525480 61509280 70735672 88419590 101050960 141471344 176839180 202101920 282942688 353678360 707356720 1414713440