Search a number
-
+
5114023441596 = 22323153758911393
BaseRepresentation
bin100101001101011001110…
…0011001111010010111100
3200002220012002100010001200
41022122303203033102330
51132242010000112341
614513203330335500
71035322161011046
oct112326343172274
920086162303050
105114023441596
1116a1932a01913
126a717012a590
132b1333ccc634
1413973d062a96
158d062b6edb6
hex4a6b38cf4bc

5114023441596 has 144 divisors (see below), whose sum is σ = 13598879374080. Its totient is φ = 1618203525120.

The previous prime is 5114023441547. The next prime is 5114023441607. The reversal of 5114023441596 is 6951443204115.

5114023441596 is a `hidden beast` number, since 5 + 1 + 14 + 0 + 2 + 3 + 4 + 41 + 596 = 666.

It is a super-2 number, since 2×51140234415962 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448868476 + ... + 448879868.

It is an arithmetic number, because the mean of its divisors is an integer number (94436662320).

Almost surely, 25114023441596 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 5114023441596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799439687040).

5114023441596 is an abundant number, since it is smaller than the sum of its proper divisors (8484855932484).

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

5114023441596 is a wasteful number, since it uses less digits than its factorization.

5114023441596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19076 (or 19071 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5114023441596 in words is "five trillion, one hundred fourteen billion, twenty-three million, four hundred forty-one thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 93 106 124 159 186 212 279 318 372 477 558 636 954 1116 1643 1908 3286 4929 6572 7589 9858 11393 14787 15178 19716 22767 22786 29574 30356 34179 45534 45572 59148 68301 68358 91068 102537 136602 136716 205074 235259 273204 353183 402217 410148 470518 603829 705777 706366 804434 941036 1059549 1206651 1207658 1411554 1412732 1608868 1811487 2117331 2119098 2413302 2415316 2823108 3178647 3619953 3622974 4234662 4238196 4826604 5434461 6357294 7239906 7245948 8469324 10868922 12468727 12714588 14479812 18718699 21737844 24937454 37406181 37437398 49874908 56156097 74812362 74874796 86461477 112218543 112312194 149624724 168468291 172922954 224437086 224624388 259384431 336936582 345845908 448874172 518768862 673873164 778153293 1037537724 1556306586 2680305787 3112613172 4582458281 5360611574 8040917361 9164916562 10721223148 13747374843 16081834722 18329833124 24122752083 27494749686 32163669444 41242124529 48245504166 54989499372 82484249058 96491008332 142056206711 164968498116 284112413422 426168620133 568224826844 852337240266 1278505860399 1704674480532 2557011720798 5114023441596