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11142030432 = 253138927909
BaseRepresentation
bin10100110000001110…
…11110010001100000
31001202111200210100210
422120013132101200
5140304324433212
65041340214120
7543052460511
oct123007362140
931674623323
1011142030432
1147a8427415
1221ab53a340
131087495c20
14779ac2a08
1545329753c
hex2981de460

11142030432 has 48 divisors (see below), whose sum is σ = 31497666480. Its totient is φ = 3428316672.

The previous prime is 11142030397. The next prime is 11142030451. The reversal of 11142030432 is 23403024111.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×111420304322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11142030399 and 11142030408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4462707 + ... + 4465202.

It is an arithmetic number, because the mean of its divisors is an integer number (656201385).

Almost surely, 211142030432 is an apocalyptic number.

11142030432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11142030432 is an abundant number, since it is smaller than the sum of its proper divisors (20355636048).

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

11142030432 is a wasteful number, since it uses less digits than its factorization.

11142030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8927935 (or 8927927 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11142030432 its reverse (23403024111), we get a palindrome (34545054543).

The spelling of 11142030432 in words is "eleven billion, one hundred forty-two million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 8927909 17855818 26783727 35711636 53567454 71423272 107134908 116062817 142846544 214269816 232125634 285693088 348188451 428539632 464251268 696376902 857079264 928502536 1392753804 1857005072 2785507608 3714010144 5571015216 11142030432