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30411554000 = 245333745121
BaseRepresentation
bin11100010100101010…
…110111110011010000
32220111102201000022212
4130110222313303100
5444240324212000
621545413051252
72124424641512
oct342452676320
986442630285
1030411554000
1111996590703
125a88926b28
132b38720689
141686d79bb2
15bced20c35
hex714ab7cd0

30411554000 has 80 divisors (see below), whose sum is σ = 73754977296. Its totient is φ = 12128256000.

The previous prime is 30411553943. The next prime is 30411554009. The reversal of 30411554000 is 45511403.

It can be written as a sum of positive squares in 8 ways, for example, as 22115258944 + 8296295056 = 148712^2 + 91084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30411554009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651440 + ... + 696560.

Almost surely, 230411554000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30411554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36877488648).

30411554000 is an abundant number, since it is smaller than the sum of its proper divisors (43343423296).

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

30411554000 is a wasteful number, since it uses less digits than its factorization.

30411554000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45481 (or 45465 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 30411554000 in words is "thirty billion, four hundred eleven million, five hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 337 400 500 674 1000 1348 1685 2000 2696 3370 5392 6740 8425 13480 16850 26960 33700 42125 45121 67400 84250 90242 134800 168500 180484 225605 337000 360968 451210 674000 721936 902420 1128025 1804840 2256050 3609680 4512100 5640125 9024200 11280250 15205777 18048400 22560500 30411554 45121000 60823108 76028885 90242000 121646216 152057770 243292432 304115540 380144425 608231080 760288850 1216462160 1520577700 1900722125 3041155400 3801444250 6082310800 7602888500 15205777000 30411554000