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1144310200 = 2352111573313
BaseRepresentation
bin100010000110100…
…1100100110111000
32221202012222111021
41010031030212320
54320420411300
6305314312224
740233322225
oct10415144670
92852188437
101144310200
11537a2a210
1227b288674
131530c6337
14abd9494c
156a6d9d1a
hex4434c9b8

1144310200 has 96 divisors (see below), whose sum is σ = 2921754960. Its totient is φ = 413337600.

The previous prime is 1144310197. The next prime is 1144310203. The reversal of 1144310200 is 20134411.

It is an interprime number because it is at equal distance from previous prime (1144310197) and next prime (1144310203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144310203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343744 + ... + 347056.

Almost surely, 21144310200 is an apocalyptic number.

1144310200 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 1144310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460877480).

1144310200 is an abundant number, since it is smaller than the sum of its proper divisors (1777444760).

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

1144310200 is a wasteful number, since it uses less digits than its factorization.

1144310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1144310200 is about 33827.6543673959. The cubic root of 1144310200 is about 1045.9588278515.

Adding to 1144310200 its reverse (20134411), we get a palindrome (1164444611).

The spelling of 1144310200 in words is "one billion, one hundred forty-four million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 157 200 220 275 314 440 550 628 785 1100 1256 1570 1727 2200 3140 3313 3454 3925 6280 6626 6908 7850 8635 13252 13816 15700 16565 17270 26504 31400 33130 34540 36443 43175 66260 69080 72886 82825 86350 132520 145772 165650 172700 182215 291544 331300 345400 364430 520141 662600 728860 911075 1040282 1457720 1822150 2080564 2600705 3644300 4161128 5201410 5721551 7288600 10402820 11443102 13003525 20805640 22886204 26007050 28607755 45772408 52014100 57215510 104028200 114431020 143038775 228862040 286077550 572155100 1144310200