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242202041344 = 21013714911587
BaseRepresentation
bin1110000110010001011…
…1011101110000000000
3212011011110212111211201
43201210113131300000
512432012210310334
6303133250150544
723332664245264
oct3414427356000
9764143774751
10242202041344
119379881351a
123ab34b82454
1319abb669283
14ba18cdc0a4
15647842cc14
hex38645ddc00

242202041344 has 88 divisors (see below), whose sum is σ = 491017165200. Its totient is φ = 119399940096.

The previous prime is 242202041309. The next prime is 242202041363. The reversal of 242202041344 is 443140202242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20897119 + ... + 20908705.

Almost surely, 2242202041344 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 242202041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245508582600).

242202041344 is an abundant number, since it is smaller than the sum of its proper divisors (248815123856).

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

242202041344 is a wasteful number, since it uses less digits than its factorization.

242202041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11893 (or 11875 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 242202041344 its reverse (443140202242), we get a palindrome (685342243586).

The spelling of 242202041344 in words is "two hundred forty-two billion, two hundred two million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 137 149 256 274 298 512 548 596 1024 1096 1192 2192 2384 4384 4768 8768 9536 11587 17536 19072 20413 23174 35072 38144 40826 46348 70144 76288 81652 92696 140288 152576 163304 185392 326608 370784 653216 741568 1306432 1483136 1587419 1726463 2612864 2966272 3174838 3452926 5225728 5932544 6349676 6905852 10451456 11865088 12699352 13811704 20902912 25398704 27623408 50797408 55246816 101594816 110493632 203189632 220987264 236525431 406379264 441974528 473050862 812758528 883949056 946101724 1625517056 1767898112 1892203448 3784406896 7568813792 15137627584 30275255168 60550510336 121101020672 242202041344