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1417949412 = 22311411272063
BaseRepresentation
bin101010010000100…
…0011000011100100
310122211010021220220
41110201003003210
510400443340122
6352411324340
750065241205
oct12441030344
93584107826
101417949412
11668439420
12336a506b0
131979c4729
14d64655ac
158473d25c
hex548430e4

1417949412 has 96 divisors (see below), whose sum is σ = 3728277504. Its totient is φ = 415699200.

The previous prime is 1417949399. The next prime is 1417949437. The reversal of 1417949412 is 2149497141.

It is a super-3 number, since 3×14179494123 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 686293 + ... + 688355.

It is an arithmetic number, because the mean of its divisors is an integer number (38836224).

Almost surely, 21417949412 is an apocalyptic number.

1417949412 is a gapful number since it is divisible by the number (12) 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 1417949412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864138752).

1417949412 is an abundant number, since it is smaller than the sum of its proper divisors (2310328092).

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

1417949412 is a wasteful number, since it uses less digits than its factorization.

1417949412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2247 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 1417949412 is about 37655.6690552698. The cubic root of 1417949412 is about 1123.4495612044.

The spelling of 1417949412 in words is "one billion, four hundred seventeen million, nine hundred forty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 127 132 164 246 254 381 451 492 508 762 902 1353 1397 1524 1804 2063 2706 2794 4126 4191 5207 5412 5588 6189 8252 8382 10414 12378 15621 16764 20828 22693 24756 31242 45386 57277 62484 68079 84583 90772 114554 136158 169166 171831 229108 253749 262001 272316 338332 343662 507498 524002 687324 786003 930413 1014996 1048004 1572006 1860826 2791239 2882011 3144012 3721652 5582478 5764022 8646033 10742041 11164956 11528044 17292066 21484082 32226123 34584132 42968164 64452246 118162451 128904492 236324902 354487353 472649804 708974706 1417949412