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1412418280 = 2357133112517
BaseRepresentation
bin101010000101111…
…1100101011101000
310122102201021122011
41110023330223220
510343034341110
6352053005304
750000233360
oct12413745350
93572637564
101412418280
11665300839
12335023834
13196808c80
14d58259a0
1583ee948a
hex542fcae8

1412418280 has 128 divisors (see below), whose sum is σ = 4037806080. Its totient is φ = 432552960.

The previous prime is 1412418269. The next prime is 1412418299. The reversal of 1412418280 is 828142141.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106582 + ... + 119098.

It is an arithmetic number, because the mean of its divisors is an integer number (31545360).

Almost surely, 21412418280 is an apocalyptic number.

1412418280 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 1412418280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018903040).

1412418280 is an abundant number, since it is smaller than the sum of its proper divisors (2625387800).

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

1412418280 is a wasteful number, since it uses less digits than its factorization.

1412418280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12579 (or 12575 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 1412418280 is about 37582.1537434991. The cubic root of 1412418280 is about 1121.9868749941.

The spelling of 1412418280 in words is "one billion, four hundred twelve million, four hundred eighteen thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 31 35 40 52 56 62 65 70 91 104 124 130 140 155 182 217 248 260 280 310 364 403 434 455 520 620 728 806 868 910 1085 1240 1612 1736 1820 2015 2170 2821 3224 3640 4030 4340 5642 8060 8680 11284 12517 14105 16120 22568 25034 28210 50068 56420 62585 87619 100136 112840 125170 162721 175238 250340 325442 350476 388027 438095 500680 650884 700952 776054 813605 876190 1139047 1301768 1552108 1627210 1752380 1940135 2278094 2716189 3104216 3254420 3504760 3880270 4556188 5044351 5432378 5695235 6508840 7760540 9112376 10088702 10864756 11390470 13580945 15521080 20177404 21729512 22780940 25221755 27161890 35310457 40354808 45561880 50443510 54323780 70620914 100887020 108647560 141241828 176552285 201774040 282483656 353104570 706209140 1412418280