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144155153100 = 223527230373229
BaseRepresentation
bin1000011001000001010…
…0010001001011001100
3111210002102100112020110
42012100110101023030
54330212204344400
6150120213120020
713262204404200
oct2062024211314
9453072315213
10144155153100
115615490a172
1223b31329010
1310794697c7a
146d9740cb00
153b3a8e2e50
hex21905112cc

144155153100 has 216 divisors, whose sum is σ = 485495124240. Its totient is φ = 32928698880.

The previous prime is 144155153057. The next prime is 144155153141. The reversal of 144155153100 is 1351551441.

It is a super-2 number, since 2×1441551531002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44642286 + ... + 44645514.

Almost surely, 2144155153100 is an apocalyptic number.

144155153100 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 144155153100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242747562120).

144155153100 is an abundant number, since it is smaller than the sum of its proper divisors (341339971140).

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

144155153100 is a wasteful number, since it uses less digits than its factorization.

144155153100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 144155153100 in words is "one hundred forty-four billion, one hundred fifty-five million, one hundred fifty-three thousand, one hundred".