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45312142024461 = 3136134915455949
BaseRepresentation
bin10100100110110000011100…
…01000010001111100001101
312221102210120002022220202110
422103120032020101330031
521414343231324240321
6240212035523414233
712354460056166464
oct1223301610217415
9187383502286673
1045312142024461
111348a853984594
1250b9968824379
131c38bbbb8aa90
14b291957d19db
15538a15a74176
hex29360e211f0d

45312142024461 has 32 divisors (see below), whose sum is σ = 66149159932800. Its totient is φ = 27419412268800.

The previous prime is 45312142024381. The next prime is 45312142024469. The reversal of 45312142024461 is 16442024121354.

It is not a de Polignac number, because 45312142024461 - 227 = 45312007806733 is a prime.

It is a super-3 number, since 3×453121420244613 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45312142024469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5577115 + ... + 11033063.

It is an arithmetic number, because the mean of its divisors is an integer number (2067161247900).

Almost surely, 245312142024461 is an apocalyptic number.

It is an amenable number.

45312142024461 is a deficient number, since it is larger than the sum of its proper divisors (20837017908339).

45312142024461 is a wasteful number, since it uses less digits than its factorization.

45312142024461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459517.

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 45312142024461 in words is "forty-five trillion, three hundred twelve billion, one hundred forty-two million, twenty-four thousand, four hundred sixty-one".

Divisors: 1 3 13 39 61 183 793 2379 3491 10473 45383 136149 212951 638853 2768363 5455949 8305089 16367847 70927337 212782011 332812889 998438667 4326567557 12979702671 19046717959 57140153877 247607333467 742822000401 1161849795499 3485549386497 15104047341487 45312142024461