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1142188056 = 2332313971289
BaseRepresentation
bin100010000010100…
…0110100000011000
32221121020011110100
41010011012200120
54314400004211
6305201015400
740206303222
oct10405064030
92847204410
101142188056
1153680a879
1227a624560
13152832429
14ab9a1412
156a41b156
hex44146818

1142188056 has 96 divisors (see below), whose sum is σ = 3203740800. Its totient is φ = 367234560.

The previous prime is 1142188049. The next prime is 1142188063. The reversal of 1142188056 is 6508812411.

It is an interprime number because it is at equal distance from previous prime (1142188049) and next prime (1142188063).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1142188056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 885460 + ... + 886748.

It is an arithmetic number, because the mean of its divisors is an integer number (33372300).

Almost surely, 21142188056 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 1142188056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601870400).

1142188056 is an abundant number, since it is smaller than the sum of its proper divisors (2061552744).

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

1142188056 is a wasteful number, since it uses less digits than its factorization.

1142188056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1142188056 is about 33796.2728122496. The cubic root of 1142188056 is about 1045.3118445397.

The spelling of 1142188056 in words is "one billion, one hundred forty-two million, one hundred eighty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 397 558 744 794 1116 1191 1289 1588 2232 2382 2578 3176 3573 3867 4764 5156 7146 7734 9528 10312 11601 12307 14292 15468 23202 24614 28584 30936 36921 39959 46404 49228 73842 79918 92808 98456 110763 119877 147684 159836 221526 239754 295368 319672 359631 443052 479508 511733 719262 886104 959016 1023466 1438524 1535199 2046932 2877048 3070398 4093864 4605597 6140796 9211194 12281592 15863723 18422388 31727446 36844776 47591169 63454892 95182338 126909784 142773507 190364676 285547014 380729352 571094028 1142188056