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1142033140 = 2251719916879
BaseRepresentation
bin100010000010010…
…0000101011110100
32221120221021221201
41010010200223310
54314330030030
6305153422244
740205056453
oct10404405364
92846837851
101142033140
11536714446
1227a56a984
131527a9a71
14ab960b9a
156a3da2ca
hex44120af4

1142033140 has 48 divisors (see below), whose sum is σ = 2552256000. Its totient is φ = 427756032.

The previous prime is 1142033131. The next prime is 1142033177. The reversal of 1142033140 is 413302411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59221 + ... + 76099.

It is an arithmetic number, because the mean of its divisors is an integer number (53172000).

Almost surely, 21142033140 is an apocalyptic number.

1142033140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276128000).

1142033140 is an abundant number, since it is smaller than the sum of its proper divisors (1410222860).

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

1142033140 is a wasteful number, since it uses less digits than its factorization.

1142033140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17104 (or 17102 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1142033140 is about 33793.9808249931. The cubic root of 1142033140 is about 1045.2645835390.

Adding to 1142033140 its reverse (413302411), we get a palindrome (1555335551).

The spelling of 1142033140 in words is "one billion, one hundred forty-two million, thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 199 340 398 796 995 1990 3383 3980 6766 13532 16879 16915 33758 33830 67516 67660 84395 168790 286943 337580 573886 1147772 1434715 2869430 3358921 5738860 6717842 13435684 16794605 33589210 57101657 67178420 114203314 228406628 285508285 571016570 1142033140