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1230415324140 = 2235373847144071
BaseRepresentation
bin10001111001111010011…
…101111110001111101100
311100121220202111122222010
4101321322131332033230
5130124342310333030
62341124530321220
7154615560456312
oct21717235761754
94317822448863
101230415324140
114348a8412312
1217a567729210
138c048a28422
14437a3ba60b2
15220150036b0
hex11e7a77e3ec

1230415324140 has 96 divisors (see below), whose sum is σ = 3539219733504. Its totient is φ = 319157694720.

The previous prime is 1230415324129. The next prime is 1230415324163. The reversal of 1230415324140 is 414235140321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1230415324098 and 1230415324107.

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, 8468305 + ... + 8612375.

It is an arithmetic number, because the mean of its divisors is an integer number (36866872224).

Almost surely, 21230415324140 is an apocalyptic number.

1230415324140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230415324140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769609866752).

1230415324140 is an abundant number, since it is smaller than the sum of its proper divisors (2308804409364).

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

1230415324140 is a wasteful number, since it uses less digits than its factorization.

1230415324140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147967 (or 147965 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 1230415324140 in words is "one trillion, two hundred thirty billion, four hundred fifteen million, three hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 3847 7694 11541 15388 19235 23082 38470 46164 57705 76940 115410 142339 144071 230820 284678 288142 427017 432213 569356 576284 711695 720355 854034 864426 1423390 1440710 1708068 1728852 2135085 2161065 2846780 2881420 4270170 4322130 5330627 8540340 8644260 10661254 15991881 21322508 26653135 31983762 53306270 63967524 79959405 106612540 159918810 319837620 554241137 1108482274 1662723411 2216964548 2771205685 3325446822 5542411370 6650893644 8313617055 11084822740 16627234110 20506922069 33254468220 41013844138 61520766207 82027688276 102534610345 123041532414 205069220690 246083064828 307603831035 410138441380 615207662070 1230415324140