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1142400432 = 243231034783
BaseRepresentation
bin100010000010111…
…1010010110110000
32221121121221210010
41010011322112300
54314423303212
6305205334520
740211146335
oct10405722660
92847557703
101142400432
11536945398
1227a707440
131528a7cb4
14aba1898c
156a45e03c
hex4417a5b0

1142400432 has 40 divisors (see below), whose sum is σ = 3079517184. Its totient is φ = 364243264.

The previous prime is 1142400431. The next prime is 1142400449. The reversal of 1142400432 is 2340042411.

It is a junction number, because it is equal to n+sod(n) for n = 1142400399 and 1142400408.

It is not an unprimeable number, because it can be changed into a prime (1142400431) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 516288 + ... + 518495.

Almost surely, 21142400432 is an apocalyptic number.

1142400432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1142400432 is an abundant number, since it is smaller than the sum of its proper divisors (1937116752).

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

1142400432 is a wasteful number, since it uses less digits than its factorization.

1142400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034817 (or 1034811 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1142400432 is about 33799.4146694880. The cubic root of 1142400432 is about 1045.3766282062.

Adding to 1142400432 its reverse (2340042411), we get a palindrome (3482442843).

The spelling of 1142400432 in words is "one billion, one hundred forty-two million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1034783 2069566 3104349 4139132 6208698 8278264 12417396 16556528 23800009 24834792 47600018 49669584 71400027 95200036 142800054 190400072 285600108 380800144 571200216 1142400432