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2414050061436 = 22321326385322993
BaseRepresentation
bin100011001000010000100…
…110001010110001111100
322112210002022002021220200
4203020100212022301330
5304022433303431221
65044555502443500
7336260260646226
oct43102046126174
98483068067820
102414050061436
1185087a364302
1232ba38593590
1314684a98b920
1484baaa3b416
1542bdd0e7426
hex2321098ac7c

2414050061436 has 144 divisors (see below), whose sum is σ = 6604588326336. Its totient is φ = 739060733952.

The previous prime is 2414050061263. The next prime is 2414050061441. The reversal of 2414050061436 is 6341600504142.

2414050061436 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 0 + 5 + 0 + 0 + 614 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2414050061436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104979156 + ... + 105002148.

Almost surely, 22414050061436 is an apocalyptic number.

2414050061436 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414050061436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302294163168).

2414050061436 is an abundant number, since it is smaller than the sum of its proper divisors (4190538264900).

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

2414050061436 is a wasteful number, since it uses less digits than its factorization.

2414050061436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24132 (or 24127 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 2414050061436 its reverse (6341600504142), we get a palindrome (8755650565578).

The spelling of 2414050061436 in words is "two trillion, four hundred fourteen billion, fifty million, sixty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 263 468 526 789 853 1052 1578 1706 2367 2559 3156 3412 3419 4734 5118 6838 7677 9468 10236 10257 11089 13676 15354 20514 22178 22993 30708 30771 33267 41028 44356 45986 61542 66534 68979 91972 99801 123084 133068 137958 199602 206937 224339 275916 298909 399204 413874 448678 597818 673017 827748 896727 897356 1195636 1346034 1793454 2019051 2690181 2692068 2916407 3586908 4038102 5380362 5832814 6047159 8076204 8749221 10760724 11665628 12094318 17498442 18141477 19613029 24188636 26247663 34996884 36282954 39226058 52495326 54424431 58839087 72565908 78452116 78613067 104990652 108848862 117678174 157226134 176517261 217697724 235356348 235839201 254969377 314452268 353034522 471678402 509938754 706069044 707517603 764908131 943356804 1019877508 1415035206 1529816262 2294724393 2830070412 3059632524 4589448786 5158226627 9178897572 10316453254 15474679881 20632906508 30949359762 46424039643 61898719524 67056946151 92848079286 134113892302 185696158572 201170838453 268227784604 402341676906 603512515359 804683353812 1207025030718 2414050061436