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1412037480 = 233576012797
BaseRepresentation
bin101010000101001…
…1111101101101000
310122101222221021110
41110022133231220
510342440144410
6352040510320
746664056230
oct12412375550
93571887243
101412037480
11665070727
12334a7b3a0
13196704849
14d5766cc0
1583e71720
hex5429fb68

1412037480 has 128 divisors (see below), whose sum is σ = 4851060480. Its totient is φ = 322099200.

The previous prime is 1412037479. The next prime is 1412037511. The reversal of 1412037480 is 847302141.

It is a super-3 number, since 3×14120374803 (a number of 28 digits) contains 333 as substring.

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

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, 503442 + ... + 506238.

It is an arithmetic number, because the mean of its divisors is an integer number (37898910).

Almost surely, 21412037480 is an apocalyptic number.

1412037480 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 1412037480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425530240).

1412037480 is an abundant number, since it is smaller than the sum of its proper divisors (3439023000).

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

1412037480 is a wasteful number, since it uses less digits than its factorization.

1412037480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1412037480 is about 37577.0871675813. The cubic root of 1412037480 is about 1121.8860335246.

The spelling of 1412037480 in words is "one billion, four hundred twelve million, thirty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 601 840 1202 1803 2404 2797 3005 3606 4207 4808 5594 6010 7212 8391 8414 9015 11188 12020 12621 13985 14424 16782 16828 18030 19579 21035 22376 24040 25242 27970 33564 33656 36060 39158 41955 42070 50484 55940 58737 63105 67128 72120 78316 83910 84140 97895 100968 111880 117474 126210 156632 167820 168280 195790 234948 252420 293685 335640 391580 469896 504840 587370 783160 1174740 1680997 2349480 3361994 5042991 6723988 8404985 10085982 11766979 13447976 16809970 20171964 23533958 25214955 33619940 35300937 40343928 47067916 50429910 58834895 67239880 70601874 94135832 100859820 117669790 141203748 176504685 201719640 235339580 282407496 353009370 470679160 706018740 1412037480