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1034341244420 = 22511101113411947
BaseRepresentation
bin11110000110100111000…
…10101101111000000100
310122212211000112101122112
433003103202231320010
5113421312324310140
62111100402320152
7134504640341111
oct17032342557004
93585730471575
101034341244420
11369730738130
12148566959058
13766cbb91203
14380c3273908
151bd8b56ec65
hexf0d38ade04

1034341244420 has 96 divisors (see below), whose sum is σ = 2414226197376. Its totient is φ = 369103616000.

The previous prime is 1034341244399. The next prime is 1034341244449. The reversal of 1034341244420 is 244421434301.

It is a super-2 number, since 2×10343412444202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2304887 + ... + 2716833.

It is an arithmetic number, because the mean of its divisors is an integer number (25148189556).

Almost surely, 21034341244420 is an apocalyptic number.

1034341244420 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 1034341244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207113098688).

1034341244420 is an abundant number, since it is smaller than the sum of its proper divisors (1379884952956).

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

1034341244420 is a wasteful number, since it uses less digits than its factorization.

1034341244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412181 (or 412179 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 1034341244420 its reverse (244421434301), we get a palindrome (1278762678721).

The spelling of 1034341244420 in words is "one trillion, thirty-four billion, three hundred forty-one million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 113 202 220 226 404 452 505 565 1010 1111 1130 1243 2020 2222 2260 2486 4444 4972 5555 6215 11110 11413 12430 22220 22826 24860 45652 57065 114130 125543 228260 251086 411947 502172 627715 823894 1255430 1647788 2059735 2510860 4119470 4531417 8238940 9062834 18125668 22657085 41606647 45314170 46550011 83213294 90628340 93100022 166426588 186200044 208033235 232750055 416066470 457673117 465500110 512050121 832132940 915346234 931000220 1024100242 1830692468 2048200484 2288365585 2560250605 4576731170 4701551111 5120501210 9153462340 9403102222 10241002420 18806204444 23507755555 47015511110 51717062221 94031022220 103434124442 206868248884 258585311105 517170622210 1034341244420