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153051544240 = 24571795992549
BaseRepresentation
bin1000111010001010010…
…1010011101010110000
3112122001102111000121121
42032202211103222300
510001422143403430
6154151053432024
714025521442460
oct2164245235260
9478042430547
10153051544240
11599aa674541
12257b479b614
131158183cc3a
14759cb73ba0
153eab955a7a
hex23a2953ab0

153051544240 has 160 divisors (see below), whose sum is σ = 409795200000. Its totient is φ = 52074107904.

The previous prime is 153051544237. The next prime is 153051544279. The reversal of 153051544240 is 42445150351.

It is a junction number, because it is equal to n+sod(n) for n = 153051544196 and 153051544205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60042486 + ... + 60045034.

It is an arithmetic number, because the mean of its divisors is an integer number (2561220000).

Almost surely, 2153051544240 is an apocalyptic number.

153051544240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153051544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204897600000).

153051544240 is an abundant number, since it is smaller than the sum of its proper divisors (256743655760).

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

153051544240 is a wasteful number, since it uses less digits than its factorization.

153051544240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 153051544240 its reverse (42445150351), we get a palindrome (195496694591).

The spelling of 153051544240 in words is "one hundred fifty-three billion, fifty-one million, five hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 179 280 358 560 599 716 895 1198 1253 1432 1790 2396 2506 2549 2864 2995 3580 4193 4792 5012 5098 5990 6265 7160 8386 9584 10024 10196 11980 12530 12745 14320 16772 17843 20048 20392 20965 23960 25060 25490 33544 35686 40784 41930 47920 50120 50980 67088 71372 83860 89215 100240 101960 107221 142744 167720 178430 203920 214442 285488 335440 356860 428884 456271 536105 713720 750547 857768 912542 1072210 1427440 1501094 1526851 1715536 1825084 2144420 2281355 3002188 3053702 3193897 3650168 3752735 4288840 4562710 6004376 6107404 6387794 7300336 7505470 7634255 8577680 9125420 10687957 12008752 12214808 12775588 15010940 15268510 15969485 18250840 21375914 24429616 25551176 30021880 30537020 31938970 36501680 42751828 51102352 53439785 60043760 61074040 63877940 85503656 106879570 122148080 127755880 171007312 213759140 255511760 273306329 427518280 546612658 855036560 1093225316 1366531645 1913144303 2186450632 2733063290 3826288606 4372901264 5466126580 7652577212 9565721515 10932253160 15305154424 19131443030 21864506320 30610308848 38262886060 76525772120 153051544240