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2045151342 = 234139531019
BaseRepresentation
bin111100111100110…
…1000100001101110
312021112022110020000
41321321220201232
513142024320332
6534534405130
7101452333233
oct17171504156
95245273200
102045151342
1195a486523
12490b007a6
13267925830
1415588d78a
15be830b7c
hex79e6886e

2045151342 has 80 divisors (see below), whose sum is σ = 4945192560. Its totient is φ = 628000128.

The previous prime is 2045151307. The next prime is 2045151347. The reversal of 2045151342 is 2431515402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045151347) 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 39 ways as a sum of consecutive naturals, for example, 2006509 + ... + 2007527.

It is an arithmetic number, because the mean of its divisors is an integer number (61814907).

Almost surely, 22045151342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045151342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472596280).

2045151342 is an abundant number, since it is smaller than the sum of its proper divisors (2900041218).

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

2045151342 is a wasteful number, since it uses less digits than its factorization.

2045151342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2045151342 is about 45223.3495221219. The cubic root of 2045151342 is about 1269.3317711410.

Adding to 2045151342 its reverse (2431515402), we get a palindrome (4476666744).

The spelling of 2045151342 in words is "two billion, forty-five million, one hundred fifty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 953 1019 1053 1906 2038 2106 2859 3057 5718 6114 8577 9171 12389 13247 17154 18342 24778 25731 26494 27513 37167 39741 51462 55026 74334 77193 79482 82539 111501 119223 154386 165078 223002 238446 334503 357669 669006 715338 971107 1003509 1073007 1942214 2007018 2146014 2913321 5826642 8739963 12624391 17479926 25248782 26219889 37873173 52439778 75746346 78659667 113619519 157319334 227239038 340858557 681717114 1022575671 2045151342