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142453312452 = 2232112931339631
BaseRepresentation
bin1000010010101011100…
…0010000101111000100
3111121200211001001202100
42010222320100233010
54313221021444302
6145235300512100
713202061114513
oct2045270205704
9447624031670
10142453312452
11554611aa0a0
12237373ab630
1310582c25979
146c753a867a
153a8b2c8d1c
hex212ae10bc4

142453312452 has 144 divisors (see below), whose sum is σ = 407680116480. Its totient is φ = 41544921600.

The previous prime is 142453312439. The next prime is 142453312453. The reversal of 142453312452 is 254213354241.

It is a happy number.

142453312452 is a `hidden beast` number, since 1 + 42 + 45 + 331 + 245 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (142453312453) 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, 3574677 + ... + 3614307.

It is an arithmetic number, because the mean of its divisors is an integer number (2831111920).

Almost surely, 2142453312452 is an apocalyptic number.

142453312452 is a gapful number since it is divisible by the number (12) 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 142453312452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203840058240).

142453312452 is an abundant number, since it is smaller than the sum of its proper divisors (265226804028).

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

142453312452 is a wasteful number, since it uses less digits than its factorization.

142453312452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39994 (or 39989 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 142453312452 its reverse (254213354241), we get a palindrome (396666666693).

The spelling of 142453312452 in words is "one hundred forty-two billion, four hundred fifty-three million, three hundred twelve thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 313 319 348 396 522 626 638 939 957 1044 1252 1276 1878 1914 2817 2871 3443 3756 3828 5634 5742 6886 9077 10329 11268 11484 13772 18154 20658 27231 30987 36308 39631 41316 54462 61974 79262 81693 99847 108924 118893 123948 158524 163386 199694 237786 299541 326772 356679 399388 435941 475572 599082 713358 871882 898623 1149299 1198164 1307823 1426716 1743764 1797246 2298598 2615646 3447897 3594492 3923469 4597196 5231292 6895794 7846938 10343691 12404503 12642289 13791588 15693876 20687382 24809006 25284578 37213509 37926867 41374764 49618012 50569156 74427018 75853734 111640527 113780601 136449533 148854036 151707468 223281054 227561202 272899066 359730587 409348599 446562108 455122404 545798132 719461174 818697198 1079191761 1228045797 1438922348 1637394396 2158383522 2456091594 3237575283 3957036457 4316767044 4912183188 6475150566 7914072914 11871109371 12950301132 15828145828 23742218742 35613328113 47484437484 71226656226 142453312452