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412300442430 = 232583452312203
BaseRepresentation
bin1011111111111110000…
…01010111101100111110
31110102012221000120212200
411333333001113230332
523223342403124210
6513224101212330
741534121636132
oct5777701275476
91412187016780
10412300442430
1114994593a8a8
1267aa67010a6
132cb58ac7146
1415d53a6b3c2
15aad17140c0
hex5fff057b3e

412300442430 has 96 divisors (see below), whose sum is σ = 1085225371776. Its totient is φ = 108589209792.

The previous prime is 412300442429. The next prime is 412300442431. The reversal of 412300442430 is 34244003214.

It is a happy number.

412300442430 is a `hidden beast` number, since 4 + 1 + 230 + 0 + 4 + 424 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (412300442429) and next prime (412300442431).

It is a junction number, because it is equal to n+sod(n) for n = 412300442394 and 412300442403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412300442431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33780709 + ... + 33792911.

It is an arithmetic number, because the mean of its divisors is an integer number (11304430956).

Almost surely, 2412300442430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412300442430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542612685888).

412300442430 is an abundant number, since it is smaller than the sum of its proper divisors (672924929346).

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

412300442430 is a wasteful number, since it uses less digits than its factorization.

412300442430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16822 (or 16819 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 412300442430 its reverse (34244003214), we get a palindrome (446544445644).

The spelling of 412300442430 in words is "four hundred twelve billion, three hundred million, four hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 2490 3735 4523 7470 9046 12203 13569 22615 24406 27138 36609 40707 45230 61015 67845 73218 81414 109827 122030 135690 183045 203535 219654 366090 375409 407070 549135 750818 1012849 1098270 1126227 1877045 2025698 2252454 3038547 3378681 3754090 5064245 5631135 6077094 6757362 9115641 10128490 11262270 15192735 16893405 18231282 30385470 33786810 45578205 55194169 91156410 110388338 165582507 275970845 331165014 496747521 551941690 827912535 993495042 1655825070 2483737605 4581116027 4967475210 9162232054 13743348081 22905580135 27486696162 41230044243 45811160270 68716740405 82460088486 137433480810 206150221215 412300442430