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153214441000 = 23531026714923
BaseRepresentation
bin1000111010110001001…
…0101101011000101000
3112122110210000000221221
42032230102231120220
510002240344103000
6154215153111424
714032540155235
oct2165422553050
9478423000857
10153214441000
1159a83615265
122583b258574
13115a950605a
1475b665878c
153ebadd161a
hex23ac4ad628

153214441000 has 64 divisors (see below), whose sum is σ = 358580738880. Its totient is φ = 61275700800.

The previous prime is 153214440949. The next prime is 153214441027. The reversal of 153214441000 is 144412351.

153214441000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 10259539 + ... + 10274461.

It is an arithmetic number, because the mean of its divisors is an integer number (5602824045).

Almost surely, 2153214441000 is an apocalyptic number.

153214441000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153214441000 is an abundant number, since it is smaller than the sum of its proper divisors (205366297880).

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

153214441000 is a wasteful number, since it uses less digits than its factorization.

153214441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25211 (or 25197 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 153214441000 its reverse (144412351), we get a palindrome (153358853351).

It can be divided in two parts, 15321 and 4441000, that added together give a square (4456321 = 21112).

The spelling of 153214441000 in words is "one hundred fifty-three billion, two hundred fourteen million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10267 14923 20534 29846 41068 51335 59692 74615 82136 102670 119384 149230 205340 256675 298460 373075 410680 513350 596920 746150 1026700 1283375 1492300 1865375 2053400 2566750 2984600 3730750 5133500 7461500 10267000 14923000 153214441 306428882 612857764 766072205 1225715528 1532144410 3064288820 3830361025 6128577640 7660722050 15321444100 19151805125 30642888200 38303610250 76607220500 153214441000