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30045351400 = 2352295180233
BaseRepresentation
bin11011111110110101…
…111010110111101000
32212112220121222210121
4123332311322313220
5443013102221100
621445212053024
72112360162451
oct337665726750
985486558717
1030045351400
11118188aa229
1259a6164174
132aaa8b364c
141650492128
15bacad651a
hex6fed7ade8

30045351400 has 48 divisors (see below), whose sum is σ = 72264264300. Its totient is φ = 11603719680.

The previous prime is 30045351383. The next prime is 30045351407. The reversal of 30045351400 is 415354003.

It can be written as a sum of positive squares in 6 ways, for example, as 5177953764 + 24867397636 = 71958^2 + 157694^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (30045351407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2584317 + ... + 2595916.

Almost surely, 230045351400 is an apocalyptic number.

It is an amenable number.

30045351400 is an abundant number, since it is smaller than the sum of its proper divisors (42218912900).

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

30045351400 is a wasteful number, since it uses less digits than its factorization.

30045351400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5180278 (or 5180269 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 30045351400 in words is "thirty billion, forty-five million, three hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 5180233 10360466 20720932 25901165 41441864 51802330 103604660 129505825 150226757 207209320 259011650 300453514 518023300 600907028 751133785 1036046600 1201814056 1502267570 3004535140 3755668925 6009070280 7511337850 15022675700 30045351400