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121413422144232 = 23323745575608913
BaseRepresentation
bin11011100110110011000011…
…111001011101101011101000
3120220220000021010220101220100
4123212303003321131223220
5111403214142032103412
61110120320042425400
734400554533163101
oct3346630371355350
9526800233811810
10121413422144232
1135760163617089
121174a899502260
13529930c9cb20a
1421da6260d13a8
15e08395d01edc
hex6e6cc3e5dae8

121413422144232 has 48 divisors (see below), whose sum is σ = 337715262052740. Its totient is φ = 39377326099968.

The previous prime is 121413422144221. The next prime is 121413422144233. The reversal of 121413422144232 is 232441224314121.

121413422144232 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 1 + 3 + 4 + 221 + 4 + 423 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94960854185796 + 26452567958436 = 9744786^2 + 5143206^2 .

It is a super-2 number, since 2×1214134221442322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121413422144233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22787801793 + ... + 22787807120.

Almost surely, 2121413422144232 is an apocalyptic number.

121413422144232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121413422144232 is an abundant number, since it is smaller than the sum of its proper divisors (216301839908508).

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

121413422144232 is a wasteful number, since it uses less digits than its factorization.

121413422144232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45575608962 (or 45575608955 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 121413422144232 its reverse (232441224314121), we get a palindrome (353854646458353).

The spelling of 121413422144232 in words is "one hundred twenty-one trillion, four hundred thirteen billion, four hundred twenty-two million, one hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 45575608913 91151217826 136726826739 182302435652 273453653478 364604871304 410180480217 546907306956 820360960434 1093814613912 1640721920868 1686297529781 3281443841736 3372595059562 5058892589343 6745190119124 10117785178686 13490380238248 15176677768029 20235570357372 30353355536058 40471140714744 60706711072116 121413422144232