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53141187240 = 2334552131481
BaseRepresentation
bin110001011111011101…
…100010101010101000
312002011111112000110000
4301133131202222220
51332313120442430
640225052023000
73560613432021
oct613735425250
9162144460400
1053141187240
112059a8a6569
12a370a61a60
13501b788abb
1428019a9c48
1515b0526e60
hexc5f762aa8

53141187240 has 160 divisors (see below), whose sum is σ = 178961947560. Its totient is φ = 14143334400.

The previous prime is 53141187233. The next prime is 53141187277. The reversal of 53141187240 is 4278114135.

53141187240 is a `hidden beast` number, since 531 + 4 + 1 + 1 + 87 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23535855396 + 29605331844 = 153414^2 + 172062^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53141187195 and 53141187204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1672300 + ... + 1703780.

Almost surely, 253141187240 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 53141187240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89480973780).

53141187240 is an abundant number, since it is smaller than the sum of its proper divisors (125820760320).

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

53141187240 is a wasteful number, since it uses less digits than its factorization.

53141187240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32025 (or 32012 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 53141187240 in words is "fifty-three billion, one hundred forty-one million, one hundred eighty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 521 540 648 810 1042 1080 1563 1620 2084 2605 3126 3240 4168 4689 5210 6252 7815 9378 10420 12504 14067 15630 18756 20840 23445 28134 31260 31481 37512 42201 46890 56268 62520 62962 70335 84402 93780 94443 112536 125924 140670 157405 168804 187560 188886 211005 251848 281340 283329 314810 337608 377772 422010 472215 562680 566658 629620 755544 844020 849987 944430 1133316 1259240 1416645 1688040 1699974 1888860 2266632 2549961 2833290 3399948 3777720 4249935 5099922 5666580 6799896 8499870 10199844 11333160 12749805 16401601 16999740 20399688 25499610 32803202 33999480 49204803 50999220 65606404 82008005 98409606 101998440 131212808 147614409 164016010 196819212 246024015 295228818 328032020 393638424 442843227 492048030 590457636 656064040 738072045 885686454 984096060 1180915272 1328529681 1476144090 1771372908 1968192120 2214216135 2657059362 2952288180 3542745816 4428432270 5314118724 5904576360 6642648405 8856864540 10628237448 13285296810 17713729080 26570593620 53141187240