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1144616430 = 2351913115329
BaseRepresentation
bin100010000111001…
…0111010111101110
32221202210112120010
41010032113113232
54321010211210
6305325034050
740236036066
oct10416272756
92852715503
101144616430
115381192a1
1227b3b5926
131531a2839
14ac0343a6
156a74a920
hex443975ee

1144616430 has 64 divisors (see below), whose sum is σ = 2913926400. Its totient is φ = 286940160.

The previous prime is 1144616419. The next prime is 1144616471. The reversal of 1144616430 is 346164411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67006 + ... + 82334.

It is an arithmetic number, because the mean of its divisors is an integer number (45530100).

Almost surely, 21144616430 is an apocalyptic number.

1144616430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144616430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456963200).

1144616430 is an abundant number, since it is smaller than the sum of its proper divisors (1769309970).

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

1144616430 is a wasteful number, since it uses less digits than its factorization.

1144616430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15489.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1144616430 is about 33832.1803908646. The cubic root of 1144616430 is about 1046.0521228933.

The spelling of 1144616430 in words is "one billion, one hundred forty-four million, six hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 131 190 262 285 393 570 655 786 1310 1965 2489 3930 4978 7467 12445 14934 15329 24890 30658 37335 45987 74670 76645 91974 153290 229935 291251 459870 582502 873753 1456255 1747506 2008099 2912510 4016198 4368765 6024297 8737530 10040495 12048594 20080990 30121485 38153881 60242970 76307762 114461643 190769405 228923286 381538810 572308215 1144616430