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1414410120 = 233351309639
BaseRepresentation
bin101010001001110…
…0010111110001000
310122120110110221000
41110103202332020
510344042110440
6352203415000
750023200444
oct12423427610
93576413830
101414410120
11666441292
12335824460
13197055786
14d5bc3824
158428e730
hex544e2f88

1414410120 has 64 divisors (see below), whose sum is σ = 4714704000. Its totient is φ = 377175744.

The previous prime is 1414410097. The next prime is 1414410143. The reversal of 1414410120 is 210144141.

It is an interprime number because it is at equal distance from previous prime (1414410097) and next prime (1414410143).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1414410093 and 1414410102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653740 + ... + 655899.

It is an arithmetic number, because the mean of its divisors is an integer number (73667250).

Almost surely, 21414410120 is an apocalyptic number.

1414410120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414410120 is an abundant number, since it is smaller than the sum of its proper divisors (3300293880).

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

1414410120 is a wasteful number, since it uses less digits than its factorization.

1414410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309659 (or 1309649 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1414410120 is about 37608.6442191154. The cubic root of 1414410120 is about 1122.5140485309.

Adding to 1414410120 its reverse (210144141), we get a palindrome (1624554261).

The spelling of 1414410120 in words is "one billion, four hundred fourteen million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1309639 2619278 3928917 5238556 6548195 7857834 10477112 11786751 13096390 15715668 19644585 23573502 26192780 31431336 35360253 39289170 47147004 52385560 58933755 70720506 78578340 94294008 117867510 141441012 157156680 176801265 235735020 282882024 353602530 471470040 707205060 1414410120