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11421414201232 = 2472973105145833
BaseRepresentation
bin1010011000110100000101…
…0101100001011110010000
31111102212122222211011221101
42212031001111201132100
52444112024013414412
640142531504234144
72256112201612030
oct246150125413620
944385588734841
1011421414201232
113703881619682
12134566860b954
1364b05b41b689
142b6b2978b8c0
1514c16d06b457
hexa6341561790

11421414201232 has 160 divisors (see below), whose sum is σ = 26546554126080. Its totient is φ = 4656824524800.

The previous prime is 11421414201193. The next prime is 11421414201233. The reversal of 11421414201232 is 23210241412411.

It is a super-2 number, since 2×114214142012322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11421414201232.

It is not an unprimeable number, because it can be changed into a prime (11421414201233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249173388 + ... + 249219220.

It is an arithmetic number, because the mean of its divisors is an integer number (165915963288).

Almost surely, 211421414201232 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 11421414201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13273277063040).

11421414201232 is an abundant number, since it is smaller than the sum of its proper divisors (15125139924848).

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

11421414201232 is a wasteful number, since it uses less digits than its factorization.

11421414201232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47001 (or 46995 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 11421414201232 its reverse (23210241412411), we get a palindrome (34631655613643).

The spelling of 11421414201232 in words is "eleven trillion, four hundred twenty-one billion, four hundred fourteen million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 73 112 116 146 203 232 292 406 464 511 584 812 1022 1051 1168 1624 2044 2102 2117 3248 4088 4204 4234 7357 8176 8408 8468 14714 14819 16816 16936 29428 29638 30479 33872 45833 58856 59276 60958 76723 91666 117712 118552 121916 153446 183332 213353 237104 243832 306892 320831 366664 426706 487664 537061 613784 641662 733328 853412 1074122 1227568 1283324 1329157 1706824 2148244 2224967 2566648 2658314 3345809 3413648 4296488 4449934 5133296 5316628 6691618 8592976 8899868 9304099 10633256 13383236 15574769 17799736 18608198 21266512 23420663 26766472 31149538 35599472 37216396 46841326 48170483 53532944 62299076 74432792 93682652 96340966 97028461 124598152 148865584 187365304 192681932 194056922 249196304 337193381 374730608 385363864 388113844 674386762 679199227 770727728 776227688 1348773524 1358398454 1396944007 1552455376 2697547048 2716796908 2793888014 3516445259 5395094096 5433593816 5587776028 7032890518 9778608049 10867187632 11175552056 14065781036 19557216098 22351104112 24615116813 28131562072 39114432196 49230233626 56263124144 78228864392 98460467252 101976912511 156457728784 196920934504 203953825022 393841869008 407907650044 713838387577 815815300088 1427676775154 1631630600176 2855353550308 5710707100616 11421414201232