| Base | Representation |
|---|---|
| bin | 11101110010010011010010… |
| … | …111111010010001101110000 |
| 3 | 122011211111000012002110021020 |
| 4 | 131302103102333102031300 |
| 5 | 114132301041314124130 |
| 6 | 1142340331051455440 |
| 7 | 36410304112243446 |
| oct | 3562232277221560 |
| 9 | 564744005073236 |
| 10 | 131000042333040 |
| 11 | 38816895807601 |
| 12 | 12838829157580 |
| 13 | 581333555345a |
| 14 | 244c6160a4b96 |
| 15 | 10229298c2e10 |
| hex | 7724d2fd2370 |
131000042333040 has 1280 divisors, whose sum is σ = 481183259443200. Its totient is φ = 29235157991424.
The previous prime is 131000042332967. The next prime is 131000042333113. The reversal of 131000042333040 is 40333240000131.
It is an interprime number because it is at equal distance from previous prime (131000042332967) and next prime (131000042333113).
It is a super-2 number, since 2×1310000423330402 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 131000042333040.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 95411537794 + ... + 95411539166.
It is an arithmetic number, because the mean of its divisors is an integer number (375924421440).
Almost surely, 2131000042333040 is an apocalyptic number.
131000042333040 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 131000042333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240591629721600).
131000042333040 is an abundant number, since it is smaller than the sum of its proper divisors (350183217110160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131000042333040 is a wasteful number, since it uses less digits than its factorization.
131000042333040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2414 (or 2408 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 24.
Adding to 131000042333040 its reverse (40333240000131), we get a palindrome (171333282333171).
The spelling of 131000042333040 in words is "one hundred thirty-one trillion, forty-two million, three hundred thirty-three thousand, forty".
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