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1144034123300 = 2252174122772307
BaseRepresentation
bin10000101001011101101…
…111110101111000100100
311001100221201001000001022
4100221131233311320210
5122220440213421200
62233321221350312
7145440142412525
oct20513557657044
94040851030038
101144034123300
1140120048a632
1216587a868398
1383b60868c33
143d52b74c84c
151eb5b6ed885
hex10a5dbf5e24

1144034123300 has 144 divisors (see below), whose sum is σ = 2704598019648. Its totient is φ = 418333593600.

The previous prime is 1144034123293. The next prime is 1144034123303. The reversal of 1144034123300 is 33214304411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1144034123300.

It is not an unprimeable number, because it can be changed into a prime (1144034123303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15785747 + ... + 15858053.

It is an arithmetic number, because the mean of its divisors is an integer number (18781930692).

Almost surely, 21144034123300 is an apocalyptic number.

1144034123300 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 1144034123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352299009824).

1144034123300 is an abundant number, since it is smaller than the sum of its proper divisors (1560563896348).

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

1144034123300 is a wasteful number, since it uses less digits than its factorization.

1144034123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72606 (or 72599 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1144034123300 its reverse (33214304411), we get a palindrome (1177248427711).

The spelling of 1144034123300 in words is "one trillion, one hundred forty-four billion, thirty-four million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 164 170 205 227 340 410 425 454 697 820 850 908 1025 1135 1394 1700 2050 2270 2788 3485 3859 4100 4540 5675 6970 7718 9307 11350 13940 15436 17425 18614 19295 22700 34850 37228 38590 46535 69700 72307 77180 93070 96475 144614 158219 186140 192950 232675 289228 316438 361535 385900 465350 632876 723070 791095 930700 1229219 1446140 1582190 1807675 2458438 2964587 3164380 3615350 3955475 4916876 5929174 6146095 7230700 7910950 11858348 12292190 14822935 15821900 16413689 24584380 29645870 30730475 32827378 50397979 59291740 61460950 65654756 74114675 82068445 100795958 122921900 148229350 164136890 201591916 251989895 279032713 296458700 328273780 410342225 503979790 558065426 672961249 820684450 1007959580 1116130852 1259949475 1345922498 1395163565 1641368900 2519898950 2691844996 2790327130 3364806245 5039797900 5580654260 6729612490 6975817825 11440341233 13459224980 13951635650 16824031225 22880682466 27903271300 33648062450 45761364932 57201706165 67296124900 114403412330 228806824660 286008530825 572017061650 1144034123300