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1144334004 = 2231147672753
BaseRepresentation
bin100010000110101…
…0010011010110100
32221202021012010220
41010031102122310
54320422142004
6305315014340
740233451512
oct10415223264
92852235126
101144334004
11537a46090
1227b29a3b0
13153104118
14abd9d4b2
156a6e1dd9
hex443526b4

1144334004 has 96 divisors (see below), whose sum is σ = 3020322816. Its totient is φ = 334202880.

The previous prime is 1144333999. The next prime is 1144334047. The reversal of 1144334004 is 4004334411.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 414292 + ... + 417044.

It is an arithmetic number, because the mean of its divisors is an integer number (31461696).

Almost surely, 21144334004 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 1144334004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510161408).

1144334004 is an abundant number, since it is smaller than the sum of its proper divisors (1875988812).

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

1144334004 is a wasteful number, since it uses less digits than its factorization.

1144334004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1144334004 is about 33828.0062078746. The cubic root of 1144334004 is about 1045.9660804978.

Adding to 1144334004 its reverse (4004334411), we get a palindrome (5148668415).

The spelling of 1144334004 in words is "one billion, one hundred forty-four million, three hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 67 94 132 134 141 188 201 268 282 402 517 564 737 804 1034 1474 1551 2068 2211 2753 2948 3102 3149 4422 5506 6204 6298 8259 8844 9447 11012 12596 16518 18894 30283 33036 34639 37788 60566 69278 90849 103917 121132 129391 138556 181698 184451 207834 258782 363396 368902 388173 415668 517564 553353 737804 776346 1106706 1423301 1552692 2028961 2213412 2846602 4057922 4269903 5693204 6086883 8115844 8539806 8669197 12173766 17079612 17338394 24347532 26007591 34676788 52015182 95361167 104030364 190722334 286083501 381444668 572167002 1144334004