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3460400155540 = 225173020007777
BaseRepresentation
bin110010010110101111111…
…011000000101110010100
3110020210220020101110101201
4302112233323000232110
5423143344414434130
611205404052402244
7505001641003036
oct62265773005624
913223806343351
103460400155540
111114602747999
1247a795016384
131c1411792743
14bd6acb53c56
156002da84bca
hex325afec0b94

3460400155540 has 12 divisors (see below), whose sum is σ = 7266840326676. Its totient is φ = 1384160062208.

The previous prime is 3460400155501. The next prime is 3460400155543. The reversal of 3460400155540 is 455510040643.

It can be written as a sum of positive squares in 2 ways, for example, as 941202664336 + 2519197491204 = 970156^2 + 1587198^2 .

It is a super-4 number, since 4×34604001555404 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3460400155540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3460400155543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86510003869 + ... + 86510003908.

It is an arithmetic number, because the mean of its divisors is an integer number (605570027223).

Almost surely, 23460400155540 is an apocalyptic number.

It is an amenable number.

3460400155540 is an abundant number, since it is smaller than the sum of its proper divisors (3806440171136).

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

3460400155540 is a wasteful number, since it uses less digits than its factorization.

3460400155540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173020007786 (or 173020007784 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 3460400155540 in words is "three trillion, four hundred sixty billion, four hundred million, one hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 173020007777 346040015554 692080031108 865100038885 1730200077770 3460400155540