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2421131311998 = 233723041300893
BaseRepresentation
bin100011001110110110101…
…010111111101101111110
322120110100210201002112000
4203032312222333231332
5304131434103440443
65052130302323130
7336630614410500
oct43166652775576
98513323632460
102421131311998
118538835636a3
12331293b894a6
13147408a72209
148527d2a7d70
1542ea4b108d3
hex233b6abfb7e

2421131311998 has 96 divisors (see below), whose sum is σ = 6260785708320. Its totient is φ = 691522030080.

The previous prime is 2421131311967. The next prime is 2421131312053. The reversal of 2421131311998 is 8991131311242.

2421131311998 is a `hidden beast` number, since 2 + 4 + 211 + 31 + 311 + 9 + 98 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7896040 + ... + 8196932.

It is an arithmetic number, because the mean of its divisors is an integer number (65216517795).

Almost surely, 22421131311998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421131311998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130392854160).

2421131311998 is an abundant number, since it is smaller than the sum of its proper divisors (3839654396322).

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

2421131311998 is a wasteful number, since it uses less digits than its factorization.

2421131311998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303959 (or 303946 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 2421131311998 in words is "two trillion, four hundred twenty-one billion, one hundred thirty-one million, three hundred eleven thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 3041 6082 9123 18246 21287 27369 42574 54738 63861 82107 127722 149009 164214 191583 298018 300893 383166 447027 574749 601786 894054 902679 1149498 1341081 1805358 2106251 2682162 2708037 4023243 4212502 5416074 6318753 8046486 8124111 12637506 14743757 16248222 18956259 29487514 37912518 44231271 56868777 88462542 113737554 132693813 265387626 398081439 796162878 915015613 1830031226 2745046839 5490093678 6405109291 8235140517 12810218582 16470281034 19215327873 24705421551 38430655746 44835765037 49410843102 57645983619 89671530074 115291967238 134507295111 172937950857 269014590222 345875901714 403521885333 807043770666 1210565655999 2421131311998