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421154060451124 = 2271121358691629259
BaseRepresentation
bin101111111000010011001001…
…0001010110011110100110100
32001020011221020121001211221211
41133300212102022303310310
5420200142003433413444
64051415300541451204
7154465243140644410
oct13760462212636464
92036157217054854
10421154060451124
1111221348572a800
123b29a58a870b04
13150cc871675570
1475ddd72a6bd40
1533a52b4a21c34
hex17f09922b3d34

421154060451124 has 144 divisors (see below), whose sum is σ = 997231986486400. Its totient is φ = 151438097352960.

The previous prime is 421154060451121. The next prime is 421154060451167.

421154060451124 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421154060451121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257679607 + ... + 259308865.

Almost surely, 2421154060451124 is an apocalyptic number.

421154060451124 is a gapful number since it is divisible by the number (44) 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 421154060451124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498615993243200).

421154060451124 is an abundant number, since it is smaller than the sum of its proper divisors (576077926035276).

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

421154060451124 is a wasteful number, since it uses less digits than its factorization.

421154060451124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635174 (or 1635161 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 421154060451124 in words is "four hundred twenty-one trillion, one hundred fifty-four billion, sixty million, four hundred fifty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1573 1694 2002 3146 3388 4004 5869 6292 11011 11738 22022 23476 41083 44044 64559 76297 82166 129118 152594 164332 258236 305188 451913 534079 710149 839267 903826 1068158 1420298 1629259 1678534 1807652 2136316 2840596 3258518 3357068 4971043 5874869 6517036 9231937 9942086 11404813 11749738 17921849 18463874 19884172 21180367 22809626 23499476 35843698 36927748 42360734 45619252 64623559 71687396 84721468 125452943 129247118 148262569 197140339 232984037 250905886 258494236 296525138 394280678 465968074 501811772 593050276 788561356 931936148 1379982373 1630888259 2562824407 2759964746 3261776518 5125648814 5519929492 6523553036 9562121071 10251297628 17939770849 19124242142 35879541698 38248484284 66934847497 71759083396 105183331781 124307573923 133869694994 210366663562 248615147846 267739389988 420733327124 497230295692 736283322467 870153017461 1157016649591 1367383313153 1472566644934 1740306034922 2314033299182 2734766626306 2945133289868 3480612069844 4628066598364 5469533252612 8099116547137 9571683192071 15041216444683 16198233094274 19143366384142 30082432889366 32396466188548 38286732768284 60164865778732 105288515112781 210577030225562 421154060451124