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153245332240 = 2457211131671637
BaseRepresentation
bin1000111010111000100…
…0100011001100010000
3112122112221010110202221
42032232020203030100
510002321301112430
6154222215150424
714033363555200
oct2165610431420
9478487113687
10153245332240
1159a99aa4310
1225849675414
13115b2a308b0
1475ba7ba400
153ebd98457a
hex23ae223310

153245332240 has 480 divisors, whose sum is σ = 490140129024. Its totient is φ = 43799777280.

The previous prime is 153245332199. The next prime is 153245332241. The reversal of 153245332240 is 42233542351.

It is a junction number, because it is equal to n+sod(n) for n = 153245332196 and 153245332205.

It is not an unprimeable number, because it can be changed into a prime (153245332241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93612702 + ... + 93614338.

Almost surely, 2153245332240 is an apocalyptic number.

153245332240 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 153245332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245070064512).

153245332240 is an abundant number, since it is smaller than the sum of its proper divisors (336894796784).

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

153245332240 is a wasteful number, since it uses less digits than its factorization.

153245332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 153245332240 its reverse (42233542351), we get a palindrome (195478874591).

The spelling of 153245332240 in words is "one hundred fifty-three billion, two hundred forty-five million, three hundred thirty-two thousand, two hundred forty".