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2314505001452 = 2272192887215279
BaseRepresentation
bin100001101011100011001…
…111111001100111101100
322012021010211111022001012
4201223203033321213230
5300410101240021302
64531134030404352
7326134406623400
oct41534317714754
98167124438035
102314505001452
11812637809396
123146970606b8
1313a3454b8577
14800461a3100
1540313cc4a52
hex21ae33f99ec

2314505001452 has 72 divisors (see below), whose sum is σ = 4961394547200. Its totient is φ = 939393969696.

The previous prime is 2314505001437. The next prime is 2314505001463. The reversal of 2314505001452 is 2541005054132.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10643549 + ... + 10858827.

It is an arithmetic number, because the mean of its divisors is an integer number (68908257600).

Almost surely, 22314505001452 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 2314505001452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480697273600).

2314505001452 is an abundant number, since it is smaller than the sum of its proper divisors (2646889545748).

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

2314505001452 is a wasteful number, since it uses less digits than its factorization.

2314505001452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218203 (or 218194 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 2314505001452 in words is "two trillion, three hundred fourteen billion, five hundred five million, one thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1862 2887 3724 5774 11548 20209 40418 54853 80836 109706 141463 215279 219412 282926 383971 430558 565852 767942 861116 1506953 1535884 2687797 3013906 4090301 5375594 6027812 8180602 10548671 10751188 16361204 21097342 28632107 42194684 57264214 114528428 200424749 400849498 621510473 801698996 1243020946 2486041892 4350573311 8701146622 11808698987 17402293244 23617397974 30454013177 47234795948 60908026354 82660892909 121816052708 165321785818 330643571636 578626250363 1157252500726 2314505001452