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1142431104 = 27329173593
BaseRepresentation
bin100010000011000…
…0001110110000000
32221121200111212010
41010012001312000
54314430243404
6305210132520
740211334633
oct10406016600
92847614763
101142431104
11536966441
1227a721140
131528b8c49
14aba25c1a
156a468189
hex44181d80

1142431104 has 128 divisors (see below), whose sum is σ = 3162693600. Its totient is φ = 364937216.

The previous prime is 1142431079. The next prime is 1142431111. The reversal of 1142431104 is 4011342411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1926232 + ... + 1926824.

Almost surely, 21142431104 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 1142431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581346800).

1142431104 is an abundant number, since it is smaller than the sum of its proper divisors (2020262496).

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

1142431104 is a wasteful number, since it uses less digits than its factorization.

1142431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1142431104 is about 33799.8684021107. The cubic root of 1142431104 is about 1045.3859838005.

Adding to 1142431104 its reverse (4011342411), we get a palindrome (5153773515).

The spelling of 1142431104 in words is "one billion, one hundred forty-two million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 173 174 192 232 346 348 384 464 519 593 692 696 928 1038 1186 1384 1392 1779 1856 2076 2372 2768 2784 3558 3712 4152 4744 5017 5536 5568 7116 8304 9488 10034 11072 11136 14232 15051 16608 17197 18976 20068 22144 28464 30102 33216 34394 37952 40136 51591 56928 60204 66432 68788 75904 80272 102589 103182 113856 120408 137576 160544 205178 206364 227712 240816 275152 307767 321088 410356 412728 481632 550304 615534 642176 820712 825456 963264 1100608 1231068 1641424 1650912 1926528 2201216 2462136 2975081 3282848 3301824 4924272 5950162 6565696 6603648 8925243 9848544 11900324 13131392 17850486 19697088 23800648 35700972 39394176 47601296 71401944 95202592 142803888 190405184 285607776 380810368 571215552 1142431104