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153413230500 = 2234533787981
BaseRepresentation
bin1000111011100000100…
…1000001111110100100
3112122222122001120220000
42032320021001332210
510003142241334000
6154251013541300
714040502641405
oct2167011017644
9478878046800
10153413230500
115a075850802
1225895944830
131160b75838a
1475d4c039ac
153ecd59c000
hex23b8241fa4

153413230500 has 120 divisors (see below), whose sum is σ = 500513637624. Its totient is φ = 40910184000.

The previous prime is 153413230433. The next prime is 153413230501. The reversal of 153413230500 is 5032314351.

153413230500 is a `hidden beast` number, since 15 + 3 + 413 + 230 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12008653056 + 141404577444 = 109584^2 + 376038^2 .

It is a super-2 number, since 2×1534132305002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (153413230501) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1853491 + ... + 1934490.

Almost surely, 2153413230500 is an apocalyptic number.

153413230500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153413230500 is an abundant number, since it is smaller than the sum of its proper divisors (347100407124).

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

153413230500 is a wasteful number, since it uses less digits than its factorization.

153413230500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788012 (or 3787991 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 153413230500 its reverse (5032314351), we get a palindrome (158445544851).

The spelling of 153413230500 in words is "one hundred fifty-three billion, four hundred thirteen million, two hundred thirty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 250 270 300 324 375 405 450 500 540 675 750 810 900 1125 1350 1500 1620 2025 2250 2700 3375 4050 4500 6750 8100 10125 13500 20250 40500 3787981 7575962 11363943 15151924 18939905 22727886 34091829 37879810 45455772 56819715 68183658 75759620 94699525 102275487 113639430 136367316 170459145 189399050 204550974 227278860 284098575 306826461 340918290 378798100 409101948 473497625 511377435 568197150 613652922 681836580 852295725 946995250 1022754870 1136394300 1227305844 1420492875 1534132305 1704591450 1893990500 2045509740 2556887175 2840985750 3068264610 3409182900 4261478625 5113774350 5681971500 6136529220 7670661525 8522957250 10227548700 12784435875 15341323050 17045914500 25568871750 30682646100 38353307625 51137743500 76706615250 153413230500