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145344534310152 = 23344711347338923
BaseRepresentation
bin100001000011000010101001…
…010101100110110100001000
3201001121210122111110001110000
4201003002221111212310020
5123022311101240411102
61233042205101323000
742420540024254532
oct4103025125466410
9631553574401400
10145344534310152
11423472a8548401
12143748b2566460
136313c13bb3378
1427c69da660852
1511c0b28ebd01c
hex8430a9566d08

145344534310152 has 320 divisors, whose sum is σ = 419575898522880. Its totient is φ = 46982547376128.

The previous prime is 145344534310103. The next prime is 145344534310193. The reversal of 145344534310152 is 251013435443541.

145344534310152 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 4 + 4 + 534 + 3 + 101 + 5 + 2 = 666.

It is a super-2 number, since 2×1453445343101522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145344534310098 and 145344534310107.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16288747563 + ... + 16288756485.

It is an arithmetic number, because the mean of its divisors is an integer number (1311174682884).

Almost surely, 2145344534310152 is an apocalyptic number.

145344534310152 is a gapful number since it is divisible by the number (12) 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 145344534310152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209787949261440).

145344534310152 is an abundant number, since it is smaller than the sum of its proper divisors (274231364212728).

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

145344534310152 is a wasteful number, since it uses less digits than its factorization.

145344534310152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13834 (or 13821 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 145344534310152 its reverse (251013435443541), we get a palindrome (396357969753693).

The spelling of 145344534310152 in words is "one hundred forty-five trillion, three hundred forty-four billion, five hundred thirty-four million, three hundred ten thousand, one hundred fifty-two".