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145270368492813 = 32315328477344987
BaseRepresentation
bin100001000001111101100100…
…101101011101110100001101
3201001100201012202101011111100
4201001331210231131310031
5123020102203313232223
61232544141434413313
742412303104233034
oct4101754455356415
9631321182334440
10145270368492813
11423188a9907093
1214362454591239
136309c2469aa55
1427c31a268d71b
1511bdc37cd1043
hex841f64b5dd0d

145270368492813 has 48 divisors (see below), whose sum is σ = 220699101482496. Its totient is φ = 91950967704960.

The previous prime is 145270368492793. The next prime is 145270368492829. The reversal of 145270368492813 is 318294863072541.

It is a happy number.

145270368492813 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 7 + 0 + 3 + 68 + 492 + 81 + 3 = 666.

145270368492813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-145270368492813 is a prime.

It is a super-2 number, since 2×1452703684928132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145270368492913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420916906 + ... + 421261892.

It is an arithmetic number, because the mean of its divisors is an integer number (4597897947552).

It is a 1-persistent number, because it is pandigital, but 2⋅145270368492813 = 290540736985626 is not.

Almost surely, 2145270368492813 is an apocalyptic number.

It is an amenable number.

145270368492813 is a deficient number, since it is larger than the sum of its proper divisors (75428732989683).

145270368492813 is a wasteful number, since it uses less digits than its factorization.

145270368492813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373554 (or 373551 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 145270368492813 in words is "one hundred forty-five trillion, two hundred seventy billion, three hundred sixty-eight million, four hundred ninety-two thousand, eight hundred thirteen".

Divisors: 1 3 9 31 53 93 159 279 477 1643 4929 14787 28477 85431 256293 344987 882787 1034961 1509281 2648361 3104883 4527843 7945083 10694597 13583529 18284311 32083791 46787711 54852933 96251373 140363133 164558799 421089399 566813641 1700440923 5101322769 9824194799 29472584397 88417753191 304550038769 520682324347 913650116307 1562046973041 2740950348921 4686140919123 16141152054757 48423456164271 145270368492813