Search a number
-
+
9211114001344 = 2629149251132701
BaseRepresentation
bin1000011000001010000100…
…1011011001001111000000
31012121120111101001021112011
42012002201023121033000
52201403330141020334
631331305524142304
71640323664113453
oct206024113311700
935546441037464
109211114001344
112a314587a2002
121049213537994
1351a7b190cc08
1423bb6ac7149a
1510e90770d564
hex860a12d93c0

9211114001344 has 112 divisors (see below), whose sum is σ = 19111476636000. Its totient is φ = 4399270400000.

The previous prime is 9211114001321. The next prime is 9211114001377. The reversal of 9211114001344 is 4431004111129.

It is a super-3 number, since 3×92111140013443 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69346194 + ... + 69478894.

It is an arithmetic number, because the mean of its divisors is an integer number (170638184250).

Almost surely, 29211114001344 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 9211114001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555738318000).

9211114001344 is an abundant number, since it is smaller than the sum of its proper divisors (9900362634656).

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

9211114001344 is a wasteful number, since it uses less digits than its factorization.

9211114001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133142 (or 133132 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 9211114001344 in words is "nine trillion, two hundred eleven billion, one hundred fourteen million, one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 149 232 251 298 464 502 596 928 1004 1192 1856 2008 2384 4016 4321 4768 7279 8032 8642 9536 14558 16064 17284 29116 34568 37399 58232 69136 74798 116464 132701 138272 149596 232928 265402 276544 299192 465856 530804 598384 1061608 1084571 1196768 2123216 2169142 2393536 3848329 4246432 4338284 7696658 8492864 8676568 15393316 17353136 19772449 30786632 33307951 34706272 39544898 61573264 66615902 69412544 79089796 123146528 133231804 158179592 246293056 266463608 316359184 532927216 573401021 632718368 965930579 1065854432 1146802042 1265436736 1931861158 2131708864 2293604084 3863722316 4587208168 4962884699 7727444632 9174416336 9925769398 15454889264 18348832672 19851538796 30909778528 36697665344 39703077592 61819557056 79406155184 143923656271 158812310368 287847312542 317624620736 575694625084 1151389250168 2302778500336 4605557000672 9211114001344