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1345450560344 = 2311157863112843
BaseRepresentation
bin10011100101000011000…
…110100100101101011000
311202121211202121010212222
4103211003012210231120
5134020440320412334
62510031430523212
7166130343031562
oct23450306445530
94677752533788
101345450560344
11479669846960
12198910806508
1399b4c470327
14491979c0332
1524ee91b2d2e
hex139431a4b58

1345450560344 has 64 divisors (see below), whose sum is σ = 2772820823040. Its totient is φ = 606963576960.

The previous prime is 1345450560341. The next prime is 1345450560347. The reversal of 1345450560344 is 4430650545431.

It is an interprime number because it is at equal distance from previous prime (1345450560341) and next prime (1345450560347).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1345450560295 and 1345450560304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345450560341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11866787 + ... + 11979629.

It is an arithmetic number, because the mean of its divisors is an integer number (43325325360).

Almost surely, 21345450560344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345450560344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386410411520).

1345450560344 is an abundant number, since it is smaller than the sum of its proper divisors (1427370262696).

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

1345450560344 is a wasteful number, since it uses less digits than its factorization.

1345450560344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113880 (or 113876 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

The spelling of 1345450560344 in words is "one trillion, three hundred forty-five billion, four hundred fifty million, five hundred sixty thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 157 314 628 863 1256 1726 1727 3452 3454 6904 6908 9493 13816 18986 37972 75944 112843 135491 225686 270982 451372 541964 902744 1083928 1241273 1490401 2482546 2980802 4965092 5961604 9930184 11923208 17716351 35432702 70865404 97383509 141730808 194767018 194879861 389534036 389759722 779068072 779519444 1071218599 1559038888 2142437198 4284874396 8569748792 15289210913 30578421826 61156843652 122313687304 168181320043 336362640086 672725280172 1345450560344