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30240413224 = 23719831791913
BaseRepresentation
bin11100001010011110…
…000001011000101000
32220001111200011022121
4130022132001120220
5443413021210344
621520421001024
72120246162020
oct341236013050
986044604277
1030240413224
1111908a1a04a
125a3b553174
132b0c12c048
14166c34aa80
15bbecb7684
hex70a781628

30240413224 has 128 divisors (see below), whose sum is σ = 69455232000. Its totient is φ = 12056062464.

The previous prime is 30240413221. The next prime is 30240413233. The reversal of 30240413224 is 42231404203.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30240413221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15806892 + ... + 15808804.

It is an arithmetic number, because the mean of its divisors is an integer number (542619000).

Almost surely, 230240413224 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 30240413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34727616000).

30240413224 is an abundant number, since it is smaller than the sum of its proper divisors (39214818776).

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

30240413224 is a wasteful number, since it uses less digits than its factorization.

30240413224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 30240413224 its reverse (42231404203), we get a palindrome (72471817427).

The spelling of 30240413224 in words is "thirty billion, two hundred forty million, four hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 83 133 152 166 179 266 332 358 532 581 664 716 1064 1162 1253 1432 1577 1913 2324 2506 3154 3401 3826 4648 5012 6308 6802 7652 10024 11039 12616 13391 13604 14857 15304 22078 23807 26782 27208 29714 36347 44156 47614 53564 59428 72694 88312 95228 103999 107128 118856 145388 158779 190456 207998 254429 282283 290776 317558 342427 415996 508858 564566 635116 684854 831992 1017716 1111453 1129132 1270232 1369708 1975981 2035432 2222906 2258264 2396989 2739416 3016801 3951962 4445812 4793978 6033602 6506113 7903924 8891624 9587956 12067204 13012226 15807848 19175912 21117607 24134408 26024452 28421441 42235214 45542791 52048904 56842882 84470428 91085582 113685764 168940856 182171164 198950087 227371528 364342328 397900174 540007379 795800348 1080014758 1591600696 2160029516 3780051653 4320059032 7560103306 15120206612 30240413224