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30024122440 = 23513317182141
BaseRepresentation
bin11011111101100100…
…111100000001001000
32212111102200110010211
4123331210330001020
5442442133404230
621443133050504
72112011554444
oct337544740110
985442613124
1030024122440
111180791a634
12599b026a34
132aa638ca30
14164b727824
15baace142a
hex6fd93c048

30024122440 has 64 divisors (see below), whose sum is σ = 72980656560. Its totient is φ = 11050798080.

The previous prime is 30024122419. The next prime is 30024122483. The reversal of 30024122440 is 4422142003.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6250799844 + 23773322596 = 79062^2 + 154186^2 .

It is a super-2 number, since 2×300241224402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73770 + ... + 255910.

Almost surely, 230024122440 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 30024122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36490328280).

30024122440 is an abundant number, since it is smaller than the sum of its proper divisors (42956534120).

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

30024122440 is a wasteful number, since it uses less digits than its factorization.

30024122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182482 (or 182478 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 30024122440 its reverse (4422142003), we get a palindrome (34446264443).

The spelling of 30024122440 in words is "thirty billion, twenty-four million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 317 520 634 1268 1585 2536 3170 4121 6340 8242 12680 16484 20605 32968 41210 82420 164840 182141 364282 728564 910705 1457128 1821410 2367833 3642820 4735666 7285640 9471332 11839165 18942664 23678330 47356660 57738697 94713320 115477394 230954788 288693485 461909576 577386970 750603061 1154773940 1501206122 2309547880 3002412244 3753015305 6004824488 7506030610 15012061220 30024122440