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1014133400 = 235272103483
BaseRepresentation
bin111100011100100…
…111001010011000
32121200021022111022
4330130213022120
54034104232100
6244344222012
734062664100
oct7434471230
92550238438
101014133400
114804a7485
1224376a908
13132148247
149898a200
155e073e85
hex3c727298

1014133400 has 72 divisors (see below), whose sum is σ = 2742843420. Its totient is φ = 347699520.

The previous prime is 1014133397. The next prime is 1014133433. The reversal of 1014133400 is 43314101.

1014133400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×10141334005 (a number of 46 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41942 + ... + 61541.

Almost surely, 21014133400 is an apocalyptic number.

1014133400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014133400 is an abundant number, since it is smaller than the sum of its proper divisors (1728710020).

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

1014133400 is a wasteful number, since it uses less digits than its factorization.

1014133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103513 (or 103497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1014133400 is about 31845.4612150617. The cubic root of 1014133400 is about 1004.6891112018.

Adding to 1014133400 its reverse (43314101), we get a palindrome (1057447501).

The spelling of 1014133400 in words is "one billion, fourteen million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 103483 206966 413932 517415 724381 827864 1034830 1448762 2069660 2587075 2897524 3621905 4139320 5070667 5174150 5795048 7243810 10141334 10348300 14487620 18109525 20282668 20696600 25353335 28975240 36219050 40565336 50706670 72438100 101413340 126766675 144876200 202826680 253533350 507066700 1014133400