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5142203345344 = 261329521409063
BaseRepresentation
bin100101011010100001100…
…1101000010100111000000
3200012120220222210112202111
41022311003031002213000
51133222213024022334
614534143503425104
71040340410152612
oct112650315024700
920176828715674
105142203345344
11170288380566a
126b07155b5194
132b3ba52894b0
1413ac53882db2
158db61ac1064
hex4ad433429c0

5142203345344 has 112 divisors (see below), whose sum is σ = 11389765302720. Its totient is φ = 2287082004480.

The previous prime is 5142203345299. The next prime is 5142203345351. The reversal of 5142203345344 is 4435433022415.

It is a junction number, because it is equal to n+sod(n) for n = 5142203345297 and 5142203345306.

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 15 ways as a sum of consecutive naturals, for example, 12366157 + ... + 12775219.

It is an arithmetic number, because the mean of its divisors is an integer number (101694333060).

Almost surely, 25142203345344 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 5142203345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5694882651360).

5142203345344 is an abundant number, since it is smaller than the sum of its proper divisors (6247561957376).

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

5142203345344 is a wasteful number, since it uses less digits than its factorization.

5142203345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409638 (or 409628 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 5142203345344 its reverse (4435433022415), we get a palindrome (9577636367759).

The spelling of 5142203345344 in words is "five trillion, one hundred forty-two billion, two hundred three million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 521 754 832 928 1042 1508 1856 2084 3016 4168 6032 6773 8336 12064 13546 15109 16672 24128 27092 30218 33344 54184 60436 108368 120872 196417 216736 241744 392834 409063 433472 483488 785668 818126 966976 1571336 1636252 3142672 3272504 5317819 6285344 6545008 10635638 11862827 12570688 13090016 21271276 23725654 26180032 42542552 47451308 85085104 94902616 154216751 170170208 189805232 213121823 308433502 340340416 379610464 426243646 616867004 759220928 852487292 1233734008 1704974584 2467468016 2770583699 3409949168 4934936032 5541167398 6180532867 6819898336 9869872064 11082334796 12361065734 13639796672 22164669592 24722131468 44329339184 49444262936 80346927271 88658678368 98888525872 160693854542 177317356736 197777051744 321387709084 395554103488 642775418168 1285550836336 2571101672672 5142203345344