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30828202440 = 2335797378353
BaseRepresentation
bin11100101101100000…
…010000100111001000
32221120110200221112120
4130231200100213020
51001114004434230
622055015211240
72140644253140
oct345540204710
987513627476
1030828202440
111208a797862
125b84376b20
132ba3b40a09
1416c6435920
15c066c2310
hex72d8109c8

30828202440 has 128 divisors (see below), whose sum is σ = 106786632960. Its totient is φ = 6973784064.

The previous prime is 30828202429. The next prime is 30828202459. The reversal of 30828202440 is 4420282803.

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, 107697 + ... + 270656.

It is an arithmetic number, because the mean of its divisors is an integer number (834270570).

Almost surely, 230828202440 is an apocalyptic number.

30828202440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30828202440 is an abundant number, since it is smaller than the sum of its proper divisors (75958430520).

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

30828202440 is a wasteful number, since it uses less digits than its factorization.

30828202440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378471 (or 378467 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 30828202440 in words is "thirty billion, eight hundred twenty-eight million, two hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 97 105 120 140 168 194 210 280 291 388 420 485 582 679 776 840 970 1164 1358 1455 1940 2037 2328 2716 2910 3395 3880 4074 5432 5820 6790 8148 10185 11640 13580 16296 20370 27160 40740 81480 378353 756706 1135059 1513412 1891765 2270118 2648471 3026824 3783530 4540236 5296942 5675295 7567060 7945413 9080472 10593884 11350590 13242355 15134120 15890826 21187768 22701180 26484710 31781652 36700241 39727065 45402360 52969420 63563304 73400482 79454130 105938840 110100723 146800964 158908260 183501205 220201446 256901687 293601928 317816520 367002410 440402892 513803374 550503615 734004820 770705061 880805784 1027606748 1101007230 1284508435 1468009640 1541410122 2055213496 2202014460 2569016870 3082820244 3853525305 4404028920 5138033740 6165640488 7707050610 10276067480 15414101220 30828202440