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30442201452 = 223213647100537
BaseRepresentation
bin11100010110011111…
…110010000101101100
32220120120101001201200
4130112133302011230
5444321200421302
621552430005500
72125246304625
oct342637620554
986516331650
1030442201452
1111a01913583
125a97046890
132b41b91270
14168b076a4c
15bd287681c
hex7167f216c

30442201452 has 72 divisors (see below), whose sum is σ = 82999346976. Its totient is φ = 9352260864.

The previous prime is 30442201429. The next prime is 30442201487. The reversal of 30442201452 is 25410224403.

30442201452 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 2 + 201 + 452 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252528 + ... + 353064.

It is an arithmetic number, because the mean of its divisors is an integer number (1152768708).

Almost surely, 230442201452 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 30442201452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41499673488).

30442201452 is an abundant number, since it is smaller than the sum of its proper divisors (52557145524).

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

30442201452 is a wasteful number, since it uses less digits than its factorization.

30442201452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101207 (or 101202 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 30442201452 its reverse (25410224403), we get a palindrome (55852425855).

The spelling of 30442201452 in words is "thirty billion, four hundred forty-two million, two hundred one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 647 1294 1941 2588 3882 5823 7764 8411 11646 16822 23292 25233 33644 50466 75699 100537 100932 151398 201074 301611 302796 402148 603222 904833 1206444 1306981 1809666 2613962 3619332 3920943 5227924 7841886 11762829 15683772 23525658 47051316 65047439 130094878 195142317 260189756 390284634 585426951 780569268 845616707 1170853902 1691233414 2341707804 2536850121 3382466828 5073700242 7610550363 10147400484 15221100726 30442201452