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145433605500 = 223253127397641
BaseRepresentation
bin1000011101110010000…
…1001011010101111100
3111220101111222122020100
42013130201023111330
54340322000334000
6150451122521100
713335660151521
oct2073441132574
9456344878210
10145433605500
115675052a3a7
1224229506190
13109394ca291
147079121148
153bb2c78a00
hex21dc84b57c

145433605500 has 288 divisors, whose sum is σ = 464295057408. Its totient is φ = 38320128000.

The previous prime is 145433605489. The next prime is 145433605501. The reversal of 145433605500 is 5506334541.

145433605500 is a `hidden beast` number, since 1 + 4 + 5 + 43 + 3 + 60 + 550 + 0 = 666.

145433605500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145433605501) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 226885180 + ... + 226885820.

It is an arithmetic number, because the mean of its divisors is an integer number (1612135616).

Almost surely, 2145433605500 is an apocalyptic number.

145433605500 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 145433605500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232147528704).

145433605500 is an abundant number, since it is smaller than the sum of its proper divisors (318861451908).

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

145433605500 is a wasteful number, since it uses less digits than its factorization.

145433605500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 145433605500 in words is "one hundred forty-five billion, four hundred thirty-three million, six hundred five thousand, five hundred".