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30241244240 = 24517791731627
BaseRepresentation
bin11100001010100001…
…001100010001010000
32220001120020101020222
4130022201030101100
5443413224303430
621520450452212
72120256222554
oct341241142120
986046211228
1030241244240
1111909437439
125a3b894068
132b0c36037c
14166c4c5864
15bbedcd9e5
hex70a84c450

30241244240 has 160 divisors (see below), whose sum is σ = 75871572480. Its totient is φ = 11168980992.

The previous prime is 30241244219. The next prime is 30241244249. The reversal of 30241244240 is 4244214203.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30241244249) 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, 18586307 + ... + 18587933.

It is an arithmetic number, because the mean of its divisors is an integer number (474197328).

Almost surely, 230241244240 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 30241244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37935786240).

30241244240 is an abundant number, since it is smaller than the sum of its proper divisors (45630328240).

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

30241244240 is a wasteful number, since it uses less digits than its factorization.

30241244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 30241244240 its reverse (4244214203), we get a palindrome (34485458443).

The spelling of 30241244240 in words is "thirty billion, two hundred forty-one million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 79 80 85 136 158 170 173 272 316 340 346 395 632 680 692 790 865 1264 1343 1360 1384 1580 1627 1730 2686 2768 2941 3160 3254 3460 5372 5882 6320 6508 6715 6920 8135 10744 11764 13016 13430 13667 13840 14705 16270 21488 23528 26032 26860 27334 27659 29410 32540 47056 53720 54668 55318 58820 65080 68335 107440 109336 110636 117640 128533 130160 136670 138295 218672 221272 232339 235280 257066 273340 276590 281471 442544 464678 514132 546680 553180 562942 642665 929356 1028264 1093360 1106360 1125884 1161695 1285330 1407355 1858712 2056528 2185061 2212720 2251768 2323390 2570660 2814710 3717424 4370122 4503536 4646780 4785007 5141320 5629420 8740244 9293560 9570014 10282640 10925305 11258840 17480488 18587120 19140028 21850610 22236209 22517680 23925035 34960976 38280056 43701220 44472418 47850070 76560112 87402440 88944836 95700140 111181045 174804880 177889672 191400280 222362090 355779344 378015553 382800560 444724180 756031106 889448360 1512062212 1778896720 1890077765 3024124424 3780155530 6048248848 7560311060 15120622120 30241244240