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1343134505200 = 245223676321587
BaseRepresentation
bin10011100010111001000…
…011100001100011110000
311202101212100112100111211
4103202321003201203300
5134001214413131300
62505005533445504
7166016060631325
oct23427103414360
94671770470454
101343134505200
1147869045a3a4
12198385040894
13998706964b7
1449018172b4c
1524e10bbe4ba
hex138b90e18f0

1343134505200 has 120 divisors (see below), whose sum is σ = 3367833694848. Its totient is φ = 513795152640.

The previous prime is 1343134505197. The next prime is 1343134505221. The reversal of 1343134505200 is 25054313431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62208807 + ... + 62230393.

Almost surely, 21343134505200 is an apocalyptic number.

1343134505200 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 1343134505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683916847424).

1343134505200 is an abundant number, since it is smaller than the sum of its proper divisors (2024699189648).

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

1343134505200 is a wasteful number, since it uses less digits than its factorization.

1343134505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28391 (or 28380 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 1343134505200 its reverse (25054313431), we get a palindrome (1368188818631).

The spelling of 1343134505200 in words is "one trillion, three hundred forty-three billion, one hundred thirty-four million, five hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 6763 9200 13526 21587 27052 33815 43174 54104 67630 86348 107935 108208 135260 155549 169075 172696 215870 270520 311098 338150 345392 431740 496501 539675 541040 622196 676300 777745 863480 993002 1079350 1244392 1352600 1555490 1726960 1986004 2158700 2482505 2488784 2705200 3110980 3888725 3972008 4317400 4965010 6221960 7777450 7944016 8634800 9930020 12412525 12443920 15554900 19860040 24825050 31109800 39720080 49650100 62219600 99300200 145992881 198600400 291985762 583971524 729964405 1167943048 1459928810 2335886096 2919857620 3357836263 3649822025 5839715240 6715672526 7299644050 11679430480 13431345052 14599288100 16789181315 26862690104 29198576200 33578362630 53725380208 58397152400 67156725260 83945906575 134313450520 167891813150 268626901040 335783626300 671567252600 1343134505200