| Base | Representation |
|---|---|
| bin | 100010101000111001101111… |
| … | …011101101011011111010000 |
| 3 | 201222101222102101111012200000 |
| 4 | 202220321233131223133100 |
| 5 | 124432002222132243100 |
| 6 | 1300002011031530000 |
| 7 | 44042342155254003 |
| oct | 4250715735533720 |
| 9 | 658358371435600 |
| 10 | 152344360040400 |
| 11 | 445a59756a7260 |
| 12 | 15105435b29900 |
| 13 | 670101c3930a8 |
| 14 | 298971369153a |
| 15 | 1292c5e246900 |
| hex | 8a8e6f76b7d0 |
152344360040400 has 1440 divisors, whose sum is σ = 605041594859520. Its totient is φ = 36504587520000.
The previous prime is 152344360040357. The next prime is 152344360040447. The reversal of 152344360040400 is 4040063443251.
152344360040400 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 4 + 4 + 3 + 600 + 4 + 0 + 40 + 0 = 666.
152344360040400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1523443600404002 (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 congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 119112086961 + ... + 119112088239.
It is an arithmetic number, because the mean of its divisors is an integer number (420167774208).
Almost surely, 2152344360040400 is an apocalyptic number.
152344360040400 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 152344360040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302520797429760).
152344360040400 is an abundant number, since it is smaller than the sum of its proper divisors (452697234819120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152344360040400 is a wasteful number, since it uses less digits than its factorization.
152344360040400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2527 (or 2504 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 36.
The spelling of 152344360040400 in words is "one hundred fifty-two trillion, three hundred forty-four billion, three hundred sixty million, forty thousand, four hundred".
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