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430041112040 = 2351492232571259
BaseRepresentation
bin1100100001000000111…
…00101001110111101000
31112010000022012222111002
412100200130221313220
524021211011041130
6525320321254132
743032551066021
oct6204034516750
91463008188432
10430041112040
11156419aa6521
126b417a94348
1331725399197
1416b57c6dc48
15b2bde43b45
hex6420729de8

430041112040 has 128 divisors (see below), whose sum is σ = 983041920000. Its totient is φ = 169299345408.

The previous prime is 430041112021. The next prime is 430041112057. The reversal of 430041112040 is 40211140034.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 341572931 + ... + 341574189.

It is an arithmetic number, because the mean of its divisors is an integer number (7680015000).

Almost surely, 2430041112040 is an apocalyptic number.

430041112040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430041112040 is an abundant number, since it is smaller than the sum of its proper divisors (553000807960).

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

430041112040 is a wasteful number, since it uses less digits than its factorization.

430041112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 430041112040 its reverse (40211140034), we get a palindrome (470252252074).

The spelling of 430041112040 in words is "four hundred thirty billion, forty-one million, one hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 149 223 257 298 446 514 596 745 892 1028 1115 1192 1259 1285 1490 1784 2056 2230 2518 2570 2980 4460 5036 5140 5960 6295 8920 10072 10280 12590 25180 33227 38293 50360 57311 66454 76586 114622 132908 153172 166135 187591 191465 229244 265816 280757 286555 306344 323563 332270 375182 382930 458488 561514 573110 647126 664540 750364 765860 937955 1123028 1146220 1294252 1329080 1403785 1500728 1531720 1617815 1875910 2246056 2292440 2588504 2807570 3235630 3751820 5615140 6471260 7503640 8539339 11230280 12942520 17078678 34157356 41832793 42696695 48210887 68314712 72154549 83665586 85393390 96421774 144309098 167331172 170786780 192843548 209163965 241054435 288618196 334662344 341573560 360772745 385687096 418327930 482108870 577236392 721545490 836655860 964217740 1443090980 1673311720 1928435480 2886181960 10751027801 21502055602 43004111204 53755139005 86008222408 107510278010 215020556020 430041112040