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153431300000 = 255511139483
BaseRepresentation
bin1000111011100100110…
…1111101011110100000
3112200000220001121120202
42032321031331132200
510003211403100000
6154252501124332
714041112350226
oct2167115753640
9480026047522
10153431300000
115a084a72680
122589b9b96a8
1311612413ba4
1475d7388b16
153ecee6add5
hex23b937d7a0

153431300000 has 144 divisors (see below), whose sum is σ = 411887325024. Its totient is φ = 55792800000.

The previous prime is 153431299991. The next prime is 153431300021. The reversal of 153431300000 is 3134351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030259 + ... + 1169741.

It is an arithmetic number, because the mean of its divisors is an integer number (2860328646).

Almost surely, 2153431300000 is an apocalyptic number.

153431300000 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 153431300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205943662512).

153431300000 is an abundant number, since it is smaller than the sum of its proper divisors (258456025024).

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

153431300000 is an equidigital number, since it uses as much as digits as its factorization.

153431300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139529 (or 139501 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 153431300000 its reverse (3134351), we get a palindrome (153434434351).

The spelling of 153431300000 in words is "one hundred fifty-three billion, four hundred thirty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 100000 110000 137500 139483 220000 275000 278966 550000 557932 697415 1100000 1115864 1394830 1534313 2231728 2789660 3068626 3487075 4463456 5579320 6137252 6974150 7671565 11158640 12274504 13948300 15343130 17435375 22317280 24549008 27896600 30686260 34870750 38357825 49098016 55793200 61372520 69741500 76715650 87176875 111586400 122745040 139483000 153431300 174353750 191789125 245490080 278966000 306862600 348707500 383578250 435884375 557932000 613725200 697415000 767156500 871768750 958945625 1227450400 1394830000 1534313000 1743537500 1917891250 2789660000 3068626000 3487075000 3835782500 4794728125 6137252000 6974150000 7671565000 9589456250 13948300000 15343130000 19178912500 30686260000 38357825000 76715650000 153431300000