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42436414246545 = 32511229374367379
BaseRepresentation
bin10011010011000011111110…
…11001011000111010010001
312120020212210200011121202100
421221201333121120322101
521030234234021342140
6230131004121111013
711636633622325644
oct1151417731307221
9176225720147670
1042436414246545
1112581200588690
124914565328469
131a8a976689cc7
14a69d0d3b7a5b
154d8d063ce530
hex26987f658e91

42436414246545 has 48 divisors (see below), whose sum is σ = 80593809566400. Its totient is φ = 20485382924160.

The previous prime is 42436414246529. The next prime is 42436414246547. The reversal of 42436414246545 is 54564241463424.

It is a happy number.

42436414246545 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 64 + 14 + 24 + 6 + 545 = 666.

It is not a de Polignac number, because 42436414246545 - 24 = 42436414246529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42436414246491 and 42436414246500.

It is not an unprimeable number, because it can be changed into a prime (42436414246547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187070335 + ... + 187297044.

It is an arithmetic number, because the mean of its divisors is an integer number (1679037699300).

Almost surely, 242436414246545 is an apocalyptic number.

42436414246545 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42436414246545 is a deficient number, since it is larger than the sum of its proper divisors (38157395319855).

42436414246545 is a wasteful number, since it uses less digits than its factorization.

42436414246545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374367630 (or 374367627 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 54.

The spelling of 42436414246545 in words is "forty-two trillion, four hundred thirty-six billion, four hundred fourteen million, two hundred forty-six thousand, five hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 229 495 687 1145 2061 2519 3435 7557 10305 12595 22671 37785 113355 374367379 1123102137 1871836895 3369306411 4118041169 5615510685 12354123507 16846532055 20590205845 37062370521 61770617535 85730129791 185311852605 257190389373 428650648955 771571168119 943031427701 1285951946865 2829094283103 3857855840595 4715157138505 8487282849309 14145471415515 42436414246545