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53142245040 = 2435613361217
BaseRepresentation
bin110001011111100001…
…100100111010110000
312002011120111202110210
4301133201210322300
51332313403320130
640225130424120
73560625426003
oct613741447260
9162146452423
1053142245040
11205a0459285
12a371292040
13501ba69411
142801ba353a
1515b06855b0
hexc5f864eb0

53142245040 has 80 divisors (see below), whose sum is σ = 165010161888. Its totient is φ = 14148108288.

The previous prime is 53142245027. The next prime is 53142245077. The reversal of 53142245040 is 4054224135.

53142245040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 53142244989 and 53142245007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33489 + ... + 327728.

Almost surely, 253142245040 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 53142245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82505080944).

53142245040 is an abundant number, since it is smaller than the sum of its proper divisors (111867916848).

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

53142245040 is a wasteful number, since it uses less digits than its factorization.

53142245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361846 (or 361840 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 53142245040 its reverse (4054224135), we get a palindrome (57196469175).

The spelling of 53142245040 in words is "fifty-three billion, one hundred forty-two million, two hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 613 1226 1839 2452 3065 3678 4904 6130 7356 9195 9808 12260 14712 18390 24520 29424 36780 49040 73560 147120 361217 722434 1083651 1444868 1806085 2167302 2889736 3612170 4334604 5418255 5779472 7224340 8669208 10836510 14448680 17338416 21673020 28897360 43346040 86692080 221426021 442852042 664278063 885704084 1107130105 1328556126 1771408168 2214260210 2657112252 3321390315 3542816336 4428520420 5314224504 6642780630 8857040840 10628449008 13285561260 17714081680 26571122520 53142245040