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1417361376 = 253107137983
BaseRepresentation
bin101010001111011…
…0011011111100000
310122210000102021210
41110132303133200
510400321031001
6352350550120
750060241624
oct12436633740
93583012253
101417361376
11668077642
12336808340
13197849b92
14d6351184
1584673dd6
hex547b37e0

1417361376 has 48 divisors (see below), whose sum is σ = 3755372544. Its totient is φ = 468034944.

The previous prime is 1417361371. The next prime is 1417361419. The reversal of 1417361376 is 6731637141.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×14173613762 = 4017826540353226752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1417361371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58720 + ... + 79263.

It is an arithmetic number, because the mean of its divisors is an integer number (78236928).

Almost surely, 21417361376 is an apocalyptic number.

1417361376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1417361376 is an abundant number, since it is smaller than the sum of its proper divisors (2338011168).

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

1417361376 is a wasteful number, since it uses less digits than its factorization.

1417361376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138103 (or 138095 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 1417361376 is about 37647.8601782359. The cubic root of 1417361376 is about 1123.2942382842.

The spelling of 1417361376 in words is "one billion, four hundred seventeen million, three hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 137983 275966 413949 551932 827898 1103864 1655796 2207728 3311592 4415456 6623184 13246368 14764181 29528362 44292543 59056724 88585086 118113448 177170172 236226896 354340344 472453792 708680688 1417361376