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30214411440 = 24351715149043
BaseRepresentation
bin11100001000111010…
…110101010010110000
32212222200202010120120
4130020322311102300
5443334342131230
621514051410240
72116512155043
oct341072652260
985880663516
1030214411440
11118a527a574
125a328b3980
132b06926b85
141668adcc5a
15bbc87d310
hex708eb54b0

30214411440 has 160 divisors (see below), whose sum is σ = 99833181696. Its totient is φ = 7532851200.

The previous prime is 30214411411. The next prime is 30214411463. The reversal of 30214411440 is 4411441203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30214411440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591559 + ... + 640601.

Almost surely, 230214411440 is an apocalyptic number.

30214411440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30214411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49916590848).

30214411440 is an abundant number, since it is smaller than the sum of its proper divisors (69618770256).

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

30214411440 is a wasteful number, since it uses less digits than its factorization.

30214411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49227 (or 49221 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 30214411440 its reverse (4411441203), we get a palindrome (34625852643).

The spelling of 30214411440 in words is "thirty billion, two hundred fourteen million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 151 170 204 240 255 272 302 340 408 453 510 604 680 755 816 906 1020 1208 1360 1510 1812 2040 2265 2416 2567 3020 3624 4080 4530 5134 6040 7248 7701 9060 10268 12080 12835 15402 18120 20536 25670 30804 36240 38505 41072 49043 51340 61608 77010 98086 102680 123216 147129 154020 196172 205360 245215 294258 308040 392344 490430 588516 616080 735645 784688 833731 980860 1177032 1471290 1667462 1961720 2354064 2501193 2942580 3334924 3923440 4168655 5002386 5885160 6669848 7405493 8337310 10004772 11770320 12505965 13339696 14810986 16674620 20009544 22216479 25011930 29621972 33349240 37027465 40019088 44432958 50023860 59243944 66698480 74054930 88865916 100047720 111082395 118487888 125893381 148109860 177731832 200095440 222164790 251786762 296219720 355463664 377680143 444329580 503573524 592439440 629466905 755360286 888659160 1007147048 1258933810 1510720572 1777318320 1888400715 2014294096 2517867620 3021441144 3776801430 5035735240 6042882288 7553602860 10071470480 15107205720 30214411440