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4015980040788 = 22322923411643197
BaseRepresentation
bin111010011100001011000…
…100000101001001010100
3112012220221112221212211200
4322130023010011021110
51011244211342301123
612312525445432500
7563100505054242
oct72341304051124
915186845855750
104015980040788
111309193044851
1254a3a770b730
132319226b3c81
14dc535797792
156e6e8d5c143
hex3a70b105254

4015980040788 has 72 divisors (see below), whose sum is σ = 10506049324680. Its totient is φ = 1291946423040.

The previous prime is 4015980040747. The next prime is 4015980040789. The reversal of 4015980040788 is 8870400895104.

4015980040788 is a `hidden beast` number, since 4 + 0 + 1 + 598 + 0 + 0 + 40 + 7 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 262879747524 + 3753100293264 = 512718^2 + 1937292^2 .

It is a super-2 number, since 2×40159800407882 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4015980040789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1622406 + ... + 3265602.

Almost surely, 24015980040788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4015980040788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253024662340).

4015980040788 is an abundant number, since it is smaller than the sum of its proper divisors (6490069283892).

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

4015980040788 is a wasteful number, since it uses less digits than its factorization.

4015980040788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645577 (or 1645572 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 4015980040788 in words is "four trillion, fifteen billion, nine hundred eighty million, forty thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 2341 4682 7023 9364 14046 21069 28092 42138 67889 84276 135778 203667 271556 407334 611001 814668 1222002 1643197 2444004 3286394 4929591 6572788 9859182 14788773 19718364 29577546 47652713 59155092 95305426 142958139 190610852 285916278 428874417 571832556 857748834 1715497668 3846724177 7693448354 11540172531 15386896708 23080345062 34620517593 46160690124 69241035186 111555001133 138482070372 223110002266 334665003399 446220004532 669330006798 1003995010197 1338660013596 2007990020394 4015980040788