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1416446130 = 2351129283523
BaseRepresentation
bin101010001101101…
…0100000010110010
310122201021220210210
41110123110002302
510400102234010
6352315204550
750046410361
oct12433240262
93581256723
101416446130
11667601a40
12336446756
131975b9408
14d61937d8
1584542b20
hex546d40b2

1416446130 has 128 divisors (see below), whose sum is σ = 3857310720. Its totient is φ = 329736960.

The previous prime is 1416446123. The next prime is 1416446149. The reversal of 1416446130 is 316446141.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 2708049 + ... + 2708571.

It is an arithmetic number, because the mean of its divisors is an integer number (30135240).

Almost surely, 21416446130 is an apocalyptic number.

1416446130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416446130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928655360).

1416446130 is an abundant number, since it is smaller than the sum of its proper divisors (2440864590).

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

1416446130 is a wasteful number, since it uses less digits than its factorization.

1416446130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1416446130 is about 37635.7028631059. The cubic root of 1416446130 is about 1123.0524011287.

The spelling of 1416446130 in words is "one billion, four hundred sixteen million, four hundred forty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 283 290 319 330 435 523 566 638 849 870 957 1046 1415 1569 1595 1698 1914 2615 2830 3113 3138 3190 4245 4785 5230 5753 6226 7845 8207 8490 9339 9570 11506 15167 15565 15690 16414 17259 18678 24621 28765 30334 31130 34518 41035 45501 46695 49242 57530 75835 82070 86295 90277 91002 93390 123105 148009 151670 166837 172590 180554 227505 246210 270831 296018 333674 444027 451385 455010 500511 541662 740045 834185 888054 902770 1001022 1354155 1480090 1628099 1668370 2220135 2502555 2708310 3256198 4292261 4440270 4884297 5005110 8140495 8584522 9768594 12876783 16280990 21461305 24421485 25753566 42922610 47214871 48842970 64383915 94429742 128767830 141644613 236074355 283289226 472148710 708223065 1416446130