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30004223440 = 24517591792089
BaseRepresentation
bin11011111100011001…
…000001110111010000
32212110001020110211211
4123330121001313100
5442422040122230
621441142345504
72111350456042
oct337431016720
985401213754
1030004223440
11117a7669184
12599442b294
132aa2213589
141648c27a92
15ba91b042a
hex6fc641dd0

30004223440 has 160 divisors (see below), whose sum is σ = 75571056000. Its totient is φ = 11036934144.

The previous prime is 30004223411. The next prime is 30004223461. The reversal of 30004223440 is 4432240003.

It is a congruent number.

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, 14361916 + ... + 14364004.

It is an arithmetic number, because the mean of its divisors is an integer number (472319100).

Almost surely, 230004223440 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 30004223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37785528000).

30004223440 is an abundant number, since it is smaller than the sum of its proper divisors (45566832560).

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

30004223440 is a wasteful number, since it uses less digits than its factorization.

30004223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 30004223440 its reverse (4432240003), we get a palindrome (34436463443).

The spelling of 30004223440 in words is "thirty billion, four million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 59 68 80 85 118 136 170 179 236 272 295 340 358 472 590 680 716 895 944 1003 1180 1360 1432 1790 2006 2089 2360 2864 3043 3580 4012 4178 4720 5015 6086 7160 8024 8356 10030 10445 10561 12172 14320 15215 16048 16712 20060 20890 21122 24344 30430 33424 35513 40120 41780 42244 48688 52805 60860 71026 80240 83560 84488 105610 121720 123251 142052 167120 168976 177565 179537 211220 243440 246502 284104 355130 359074 373931 422440 493004 568208 616255 710260 718148 747862 844880 897685 986008 1232510 1420520 1436296 1495724 1795370 1869655 1972016 2095267 2465020 2841040 2872592 2991448 3590740 3739310 4190534 4930040 5982896 6356827 7181480 7478620 8381068 9860080 10476335 12713654 14362960 14957240 16762136 20952670 22061929 25427308 29914480 31784135 33524272 41905340 44123858 50854616 63568270 83810680 88247716 101709232 110309645 127136540 167621360 176495432 220619290 254273080 352990864 375052793 441238580 508546160 750105586 882477160 1500211172 1764954320 1875263965 3000422344 3750527930 6000844688 7501055860 15002111720 30004223440