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153125225440 = 25511471851127
BaseRepresentation
bin1000111010011011111…
…0011000001111100000
3112122020120010102012221
42032212332120033200
510002100024203230
6154202245000424
714030404640455
oct2164676301740
9478216112187
10153125225440
1159a3821a2a0
12258153b3114
1311593b9a195
1475a887382c
153eb315c27a
hex23a6f983e0

153125225440 has 96 divisors (see below), whose sum is σ = 403042397184. Its totient is φ = 54497149440.

The previous prime is 153125225419. The next prime is 153125225521. The reversal of 153125225440 is 44522521351.

It is a happy number.

153125225440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 153125225396 and 153125225405.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 842844 + ... + 1008283.

It is an arithmetic number, because the mean of its divisors is an integer number (4198358304).

Almost surely, 2153125225440 is an apocalyptic number.

153125225440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153125225440 is an abundant number, since it is smaller than the sum of its proper divisors (249917171744).

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

153125225440 is a wasteful number, since it uses less digits than its factorization.

153125225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851200 (or 1851192 counting only the distinct ones).

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

Adding to 153125225440 its reverse (44522521351), we get a palindrome (197647746791).

The spelling of 153125225440 in words is "one hundred fifty-three billion, one hundred twenty-five million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 80 88 94 110 160 176 188 220 235 352 376 440 470 517 752 880 940 1034 1504 1760 1880 2068 2585 3760 4136 5170 7520 8272 10340 16544 20680 41360 82720 1851127 3702254 7404508 9255635 14809016 18511270 20362397 29618032 37022540 40724794 59236064 74045080 81449588 87002969 101811985 148090160 162899176 174005938 203623970 296180320 325798352 348011876 407247940 435014845 651596704 696023752 814495880 870029690 957032659 1392047504 1628991760 1740059380 1914065318 2784095008 3257983520 3480118760 3828130636 4785163295 6960237520 7656261272 9570326590 13920475040 15312522544 19140653180 30625045088 38281306360 76562612720 153125225440