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54145301562440 = 23511123057503551
BaseRepresentation
bin11000100111110101011110…
…11101110100010001001000
321002201020111011101010021122
430103322233131310101020
524044104034144444230
6311054001432054412
714255604022345634
oct1423725735642110
9232636434333248
1054145301562440
1116285991192160
1260a587bb34408
132429b5956629a
14d5290a2d5dc4
1563d69beaebe5
hex313eaf774448

54145301562440 has 32 divisors (see below), whose sum is σ = 132902103836160. Its totient is φ = 19689200568000.

The previous prime is 54145301562421. The next prime is 54145301562503. The reversal of 54145301562440 is 4426510354145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 54145301562391 and 54145301562400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61528751336 + ... + 61528752215.

It is an arithmetic number, because the mean of its divisors is an integer number (4153190744880).

Almost surely, 254145301562440 is an apocalyptic number.

It is an amenable number.

54145301562440 is an abundant number, since it is smaller than the sum of its proper divisors (78756802273720).

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

54145301562440 is a wasteful number, since it uses less digits than its factorization.

54145301562440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123057503573 (or 123057503569 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

The spelling of 54145301562440 in words is "fifty-four trillion, one hundred forty-five billion, three hundred one million, five hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 123057503551 246115007102 492230014204 615287517755 984460028408 1230575035510 1353632539061 2461150071020 2707265078122 4922300142040 5414530156244 6768162695305 10829060312488 13536325390610 27072650781220 54145301562440