Search a number
-
+
1114211291358 = 2311678313722159
BaseRepresentation
bin10000001101101100001…
…010110001000011011110
310221111222022010011120010
4100031230022301003132
5121223401042310413
62211510034504050
7143333123465604
oct20155412610336
93844868104503
101114211291358
1139a597254590
1215bb37135026
13810ba0c5a09
143bcdca61874
151deb341ddc3
hex1036c2b10de

1114211291358 has 128 divisors (see below), whose sum is σ = 2515356426240. Its totient is φ = 326179941120.

The previous prime is 1114211291357. The next prime is 1114211291411. The reversal of 1114211291358 is 8531921124111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114211291353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50271483 + ... + 50293641.

It is an arithmetic number, because the mean of its divisors is an integer number (19651222080).

Almost surely, 21114211291358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114211291358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257678213120).

1114211291358 is an abundant number, since it is smaller than the sum of its proper divisors (1401145134882).

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

1114211291358 is a wasteful number, since it uses less digits than its factorization.

1114211291358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22462.

The product of its digits is 17280, while the sum is 39.

The spelling of 1114211291358 in words is "one trillion, one hundred fourteen billion, two hundred eleven million, two hundred ninety-one thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 11 22 33 66 67 83 134 137 166 201 249 274 402 411 498 737 822 913 1474 1507 1826 2211 2739 3014 4422 4521 5478 5561 9042 9179 11122 11371 16683 18358 22159 22742 27537 33366 34113 44318 55074 61171 66477 68226 100969 122342 125081 132954 183513 201938 243749 250162 302907 367026 375243 487498 605814 731247 750486 761857 1462494 1484653 1523714 1839197 2285571 2969306 3035783 3678394 4453959 4571142 5517591 6071566 8380427 8907918 9107349 11035182 16331183 16760854 18214698 20231167 25141281 32662366 33393613 40462334 48993549 50282562 60693501 66787226 97987098 100180839 121387002 123226199 200361678 203397461 246452398 251969989 369678597 406794922 503939978 610192383 739357194 755909967 1220384766 1355488189 1511819934 2237372071 2710976378 2771669879 4066464567 4474744142 5543339758 6712116213 8132929134 8315009637 13424232426 16630019274 16881989263 33763978526 50645967789 101291935578 185701881893 371403763786 557105645679 1114211291358