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145858241052 = 22335325481873
BaseRepresentation
bin1000011111010111010…
…1000010001000011100
3111221111010000100201000
42013311311002020130
54342204202203202
6151001212150300
713352334410166
oct2076565021034
9457433010630
10145858241052
11569491a1377
1224327768390
13109a6485c14
1470b9699936
153bda1a691c
hex21f5d4221c

145858241052 has 48 divisors (see below), whose sum is σ = 385285934880. Its totient is φ = 47702064384.

The previous prime is 145858241029. The next prime is 145858241059. The reversal of 145858241052 is 250142858541.

145858241052 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 582 + 4 + 10 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145858240989 and 145858241007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145858241059) 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 15 ways as a sum of consecutive naturals, for example, 12735213 + ... + 12746660.

It is an arithmetic number, because the mean of its divisors is an integer number (8026790310).

Almost surely, 2145858241052 is an apocalyptic number.

145858241052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145858241052 is an abundant number, since it is smaller than the sum of its proper divisors (239427693828).

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

145858241052 is a wasteful number, since it uses less digits than its factorization.

145858241052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25481939 (or 25481931 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 145858241052 in words is "one hundred forty-five billion, eight hundred fifty-eight million, two hundred forty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5724 25481873 50963746 76445619 101927492 152891238 229336857 305782476 458673714 688010571 917347428 1350539269 1376021142 2701078538 2752042284 4051617807 5402157076 8103235614 12154853421 16206471228 24309706842 36464560263 48619413684 72929120526 145858241052