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1034302442420 = 2251379380313241
BaseRepresentation
bin11110000110100010011…
…10101100101110110100
310122212201022112001022102
433003101032230232310
5113421222411124140
62111052454521232
7134503656462542
oct17032116545664
93585638461272
101034302442420
11369710845665
12148555966218
13766c3b26a50
14380bc052d92
151bd87e57e15
hexf0d13acbb4

1034302442420 has 96 divisors (see below), whose sum is σ = 2369525598720. Its totient is φ = 376934538240.

The previous prime is 1034302442387. The next prime is 1034302442423. The reversal of 1034302442420 is 242442034301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034302442423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78107000 + ... + 78120240.

It is an arithmetic number, because the mean of its divisors is an integer number (24682558320).

Almost surely, 21034302442420 is an apocalyptic number.

1034302442420 is a gapful number since it is divisible by the number (10) 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 1034302442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184762799360).

1034302442420 is an abundant number, since it is smaller than the sum of its proper divisors (1335223156300).

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

1034302442420 is a wasteful number, since it uses less digits than its factorization.

1034302442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17145 (or 17143 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 1034302442420 its reverse (242442034301), we get a palindrome (1276744476721).

The spelling of 1034302442420 in words is "one trillion, thirty-four billion, three hundred two million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 260 316 395 790 1027 1580 2054 3803 4108 5135 7606 10270 13241 15212 19015 20540 26482 38030 49439 52964 66205 76060 98878 132410 172133 197756 247195 264820 300437 344266 494390 600874 688532 860665 988780 1046039 1201748 1502185 1721330 2092078 3004370 3442660 3905681 4184156 5230195 6008740 7811362 10460390 13598507 15622724 19528405 20920780 27197014 39056810 50355523 54394028 67992535 78113620 100711046 135985070 201422092 251777615 271970140 503555230 654621799 1007110460 1309243598 2618487196 3273108995 3978086317 6546217990 7956172634 13092435980 15912345268 19890431585 39780863170 51715122121 79561726340 103430244242 206860488484 258575610605 517151221210 1034302442420