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1142123004 = 223411674783
BaseRepresentation
bin100010000010011…
…0110100111111100
32221121002212020000
41010010312213330
54314340414004
6305155354300
740205612451
oct10404664774
92847085200
101142123004
11536775a10
1227a5b2990
1315280b939
14ab985828
156a406c39
hex441369fc

1142123004 has 120 divisors (see below), whose sum is σ = 3306471168. Its totient is φ = 340860960.

The previous prime is 1142122997. The next prime is 1142123009. The reversal of 1142123004 is 4003212411.

1142123004 is a `hidden beast` number, since 11 + 421 + 230 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142123009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236397 + ... + 241179.

Almost surely, 21142123004 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 1142123004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653235584).

1142123004 is an abundant number, since it is smaller than the sum of its proper divisors (2164348164).

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

1142123004 is a wasteful number, since it uses less digits than its factorization.

1142123004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1142123004 is about 33795.3103847265. The cubic root of 1142123004 is about 1045.2919993204.

Adding to 1142123004 its reverse (4003212411), we get a palindrome (5145335415).

The spelling of 1142123004 in words is "one billion, one hundred forty-two million, one hundred twenty-three thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 81 99 108 132 134 162 198 201 268 297 324 396 402 594 603 737 804 891 1188 1206 1474 1782 1809 2211 2412 2948 3564 3618 4422 4783 5427 6633 7236 8844 9566 10854 13266 14349 19132 19899 21708 26532 28698 39798 43047 52613 57396 59697 79596 86094 105226 119394 129141 157839 172188 210452 238788 258282 315678 320461 387423 473517 516564 631356 640922 774846 947034 961383 1281844 1420551 1549692 1894068 1922766 2841102 2884149 3525071 3845532 4261653 5682204 5768298 7050142 8523306 8652447 10575213 11536596 14100284 17046612 17304894 21150426 25957341 31725639 34609788 42300852 51914682 63451278 95176917 103829364 126902556 190353834 285530751 380707668 571061502 1142123004