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1144730112 = 2933172351
BaseRepresentation
bin100010000111011…
…0011001000000000
32221210000022111120
41010032303020000
54321022330422
6305331312240
740240021401
oct10416631000
92853008446
101144730112
11538196749
1227b44b680
131532124c6
14ac0639a8
156a76e45c
hex443b3200

1144730112 has 80 divisors (see below), whose sum is σ = 3060554112. Its totient is φ = 380211200.

The previous prime is 1144730053. The next prime is 1144730117. The reversal of 1144730112 is 2110374411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1144730117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485737 + ... + 488087.

Almost surely, 21144730112 is an apocalyptic number.

1144730112 is a gapful number since it is divisible by the number (12) 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 1144730112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530277056).

1144730112 is an abundant number, since it is smaller than the sum of its proper divisors (1915824000).

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

1144730112 is an equidigital number, since it uses as much as digits as its factorization.

1144730112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1144730112 is about 33833.8604359597. The cubic root of 1144730112 is about 1046.0867526486.

The spelling of 1144730112 in words is "one billion, one hundred forty-four million, seven hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 317 384 512 634 768 951 1268 1536 1902 2351 2536 3804 4702 5072 7053 7608 9404 10144 14106 15216 18808 20288 28212 30432 37616 40576 56424 60864 75232 81152 112848 121728 150464 162304 225696 243456 300928 451392 486912 601856 745267 902784 1203712 1490534 1805568 2235801 2981068 3611136 4471602 5962136 8943204 11924272 17886408 23848544 35772816 47697088 71545632 95394176 143091264 190788352 286182528 381576704 572365056 1144730112