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151225440000 = 283543110163
BaseRepresentation
bin1000110011010110111…
…1010001011100000000
3112110100011100022112020
42030311233101130000
54434202203040000
6153245542001440
713632336013425
oct2146557213400
9473304308466
10151225440000
1159152900388
1225385116280
131135041019b
147468423d4c
153e01492ba0
hex2335bd1700

151225440000 has 360 divisors, whose sum is σ = 519214198272. Its totient is φ = 39022080000.

The previous prime is 151225439957. The next prime is 151225440001. The reversal of 151225440000 is 44522151.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151225440001) 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, 14874919 + ... + 14885081.

Almost surely, 2151225440000 is an apocalyptic number.

151225440000 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 151225440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259607099136).

151225440000 is an abundant number, since it is smaller than the sum of its proper divisors (367988758272).

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

151225440000 is an equidigital number, since it uses as much as digits as its factorization.

151225440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10233 (or 10204 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 151225440000 its reverse (44522151), we get a palindrome (151269962151).

The spelling of 151225440000 in words is "one hundred fifty-one billion, two hundred twenty-five million, four hundred forty thousand".