| Base | Representation |
|---|---|
| bin | 101110100011011001… |
| … | …1011100110101110000 |
| 3 | 100120001020012221001200 |
| 4 | 1131012303130311300 |
| 5 | 3114220331443100 |
| 6 | 113532045531200 |
| 7 | 10136255113116 |
| oct | 1350663346560 |
| 9 | 316036187050 |
| 10 | 99972140400 |
| 11 | 39441737840 |
| 12 | 17460573b00 |
| 13 | 9572b06a82 |
| 14 | 4ba548bab6 |
| 15 | 2901a84e00 |
| hex | 1746cdcd70 |
99972140400 has 1440 divisors, whose sum is σ = 427440499200. Its totient is φ = 21349785600.
The previous prime is 99972140393. The next prime is 99972140407. The reversal of 99972140400 is 404127999.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (99972140393) and next prime (99972140407).
It is a super-3 number, since 3×999721404003 (a number of 34 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (99972140407) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 917175546 + ... + 917175654.
It is an arithmetic number, because the mean of its divisors is an integer number (296833680).
Almost surely, 299972140400 is an apocalyptic number.
99972140400 is a gapful number since it is divisible by the number (90) 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 99972140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213720249600).
99972140400 is an abundant number, since it is smaller than the sum of its proper divisors (327468358800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
99972140400 is a wasteful number, since it uses less digits than its factorization.
99972140400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 239 (or 225 counting only the distinct ones).
The product of its (nonzero) digits is 163296, while the sum is 45.
The spelling of 99972140400 in words is "ninety-nine billion, nine hundred seventy-two million, one hundred forty thousand, four hundred".
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