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1144302432200 = 2352192711111189
BaseRepresentation
bin10000101001101101101…
…111010110111111001000
311001101122101220111122222
4100221231233112333020
5122222012410312300
62233404004233212
7145446611121314
oct20515557267710
94041571814588
101144302432200
11401328989024
1216593469b808
1383ba431c0b5
143d555232b44
151eb7504c785
hex10a6dbd6fc8

1144302432200 has 96 divisors (see below), whose sum is σ = 2810866224000. Its totient is φ = 432029894400.

The previous prime is 1144302432109. The next prime is 1144302432233. The reversal of 1144302432200 is 22342034411.

It is a self number, because there is not a number n which added to its sum of digits gives 1144302432200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474206 + ... + 1585394.

It is an arithmetic number, because the mean of its divisors is an integer number (29279856500).

Almost surely, 21144302432200 is an apocalyptic number.

1144302432200 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 1144302432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405433112000).

1144302432200 is an abundant number, since it is smaller than the sum of its proper divisors (1666563791800).

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

1144302432200 is a wasteful number, since it uses less digits than its factorization.

1144302432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111495 (or 1111486 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1144302432200 its reverse (22342034411), we get a palindrome (1166644466611).

The spelling of 1144302432200 in words is "one trillion, one hundred forty-four billion, three hundred two million, four hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 271 380 475 542 760 950 1084 1355 1900 2168 2710 3800 5149 5420 6775 10298 10840 13550 20596 25745 27100 41192 51490 54200 102980 128725 205960 257450 514900 1029800 1111189 2222378 4444756 5555945 8889512 11111890 21112591 22223780 27779725 42225182 44447560 55559450 84450364 105562955 111118900 168900728 211125910 222237800 301132219 422251820 527814775 602264438 844503640 1055629550 1204528876 1505661095 2111259100 2409057752 3011322190 4222518200 5721512161 6022644380 7528305475 11443024322 12045288760 15056610950 22886048644 28607560805 30113221900 45772097288 57215121610 60226443800 114430243220 143037804025 228860486440 286075608050 572151216100 1144302432200