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1144040424 = 2332311031879
BaseRepresentation
bin100010000110000…
…1010101111101000
32221201201021102120
41010030022233220
54320333243144
6305304431240
740231116552
oct10414125750
92851637376
101144040424
1153786555a
1227b178520
131530305c7
14abd244d2
156a684e19
hex4430abe8

1144040424 has 64 divisors (see below), whose sum is σ = 2988748800. Its totient is φ = 364241856.

The previous prime is 1144040419. The next prime is 1144040431. The reversal of 1144040424 is 4240404411.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1144040394 and 1144040403.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 607917 + ... + 609795.

It is an arithmetic number, because the mean of its divisors is an integer number (46699200).

Almost surely, 21144040424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144040424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494374400).

1144040424 is an abundant number, since it is smaller than the sum of its proper divisors (1844708376).

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

1144040424 is a wasteful number, since it uses less digits than its factorization.

1144040424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1144040424 is about 33823.6666256040. Note that the first 4 decimals coincide. The cubic root of 1144040424 is about 1045.8766249761.

Adding to 1144040424 its reverse (4240404411), we get a palindrome (5384444835).

The spelling of 1144040424 in words is "one billion, one hundred forty-four million, forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1103 1879 2206 3309 3758 4412 5637 6618 7516 8824 11274 13236 15032 22548 25369 26472 43217 45096 50738 76107 86434 101476 129651 152214 172868 202952 259302 304428 345736 518604 608856 1037208 2072537 4145074 6217611 8290148 12435222 16580296 24870444 47668351 49740888 95336702 143005053 190673404 286010106 381346808 572020212 1144040424