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12400430350 = 2527116748073
BaseRepresentation
bin10111000110001111…
…11000110100001110
31012000012121010112011
423203013320310032
5200344002232400
65410252131434
7616202630110
oct134307706416
935005533464
1012400430350
1152937a0950
1224a0a66b7a
1312280c6c69
14858c953b0
154c89bb8ba
hex2e31f8d0e

12400430350 has 96 divisors (see below), whose sum is σ = 29185917696. Its totient is φ = 3807302400.

The previous prime is 12400430347. The next prime is 12400430407. The reversal of 12400430350 is 5303400421.

It is a super-2 number, since 2×124004303502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233914 + ... + 281986.

It is an arithmetic number, because the mean of its divisors is an integer number (304019976).

Almost surely, 212400430350 is an apocalyptic number.

12400430350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12400430350 is an abundant number, since it is smaller than the sum of its proper divisors (16785487346).

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

12400430350 is a wasteful number, since it uses less digits than its factorization.

12400430350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48170 (or 48165 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 12400430350 its reverse (5303400421), we get a palindrome (17703830771).

The spelling of 12400430350 in words is "twelve billion, four hundred million, four hundred thirty thousand, three hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 50 55 67 70 77 110 134 154 175 275 335 350 385 469 550 670 737 770 938 1474 1675 1925 2345 3350 3685 3850 4690 5159 7370 10318 11725 18425 23450 25795 36850 48073 51590 96146 128975 240365 257950 336511 480730 528803 673022 1057606 1201825 1682555 2403650 2644015 3220891 3365110 3701621 5288030 6441782 7403242 8412775 13220075 16104455 16825550 18508105 22546237 26440150 32208910 35429801 37016210 45092474 70859602 80522275 92540525 112731185 161044550 177149005 185081050 225462370 248008607 354298010 496017214 563655925 885745025 1127311850 1240043035 1771490050 2480086070 6200215175 12400430350