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1403050379300 = 225297655322073
BaseRepresentation
bin10100011010101100010…
…100011100100000100100
311222010111222211010012222
4110122230110130200210
5140441421344114200
62552315154531512
7203236616310113
oct24325424344044
94863458733188
101403050379300
114a10373a8419
121a7b06896b98
13a23cb87a33b
144bc9d7a7c7a
152676ad55d85
hex146ac51c824

1403050379300 has 72 divisors (see below), whose sum is σ = 3076615932936. Its totient is φ = 555324456960.

The previous prime is 1403050379299. The next prime is 1403050379303. The reversal of 1403050379300 is 39730503041.

It can be written as a sum of positive squares in 12 ways, for example, as 153430456804 + 1249619922496 = 391702^2 + 1117864^2 .

It is not an unprimeable number, because it can be changed into a prime (1403050379303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63553064 + ... + 63575136.

Almost surely, 21403050379300 is an apocalyptic number.

1403050379300 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 1403050379300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538307966468).

1403050379300 is an abundant number, since it is smaller than the sum of its proper divisors (1673565553636).

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

1403050379300 is a wasteful number, since it uses less digits than its factorization.

1403050379300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28737 (or 28730 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 35.

The spelling of 1403050379300 in words is "one trillion, four hundred three billion, fifty million, three hundred seventy-nine thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 6553 9700 13106 22073 26212 32765 44146 65530 88292 110365 131060 163825 220730 327650 441460 551825 635641 655300 1103650 1271282 2141081 2207300 2542564 3178205 4282162 6356410 8564324 10705405 12712820 15891025 21410810 31782050 42821620 53527025 63564100 107054050 144644369 214108100 289288738 578577476 723221845 1446443690 2892887380 3616109225 7232218450 14030503793 14464436900 28061007586 56122015172 70152518965 140305037930 280610075860 350762594825 701525189650 1403050379300