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1142410340 = 2251929831249
BaseRepresentation
bin100010000010111…
…1100110001100100
32221121122110101002
41010011330301210
54314424112330
6305205452432
740211220251
oct10405746144
92847573332
101142410340
11536951885
1227a711118
131528ac666
14aba1c428
156a461e45
hex4417cc64

1142410340 has 96 divisors (see below), whose sum is σ = 2646000000. Its totient is φ = 412618752.

The previous prime is 1142410307. The next prime is 1142410393. The reversal of 1142410340 is 430142411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 914036 + ... + 915284.

It is an arithmetic number, because the mean of its divisors is an integer number (27562500).

Almost surely, 21142410340 is an apocalyptic number.

1142410340 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 1142410340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323000000).

1142410340 is an abundant number, since it is smaller than the sum of its proper divisors (1503589660).

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

1142410340 is a wasteful number, since it uses less digits than its factorization.

1142410340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1142410340 is about 33799.5612397558. The cubic root of 1142410340 is about 1045.3796503694.

Adding to 1142410340 its reverse (430142411), we get a palindrome (1572552751).

The spelling of 1142410340 in words is "one billion, one hundred forty-two million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 83 95 116 145 166 190 290 332 380 415 551 580 830 1102 1249 1577 1660 2204 2407 2498 2755 3154 4814 4996 5510 6245 6308 7885 9628 11020 12035 12490 15770 23731 24070 24980 31540 36221 45733 47462 48140 72442 91466 94924 103667 118655 144884 181105 182932 207334 228665 237310 362210 414668 457330 474620 518335 688199 724420 914660 1036670 1376398 1969673 2073340 2752796 3006343 3440995 3939346 6012686 6881990 7878692 9848365 12025372 13763980 15031715 19696730 30063430 39393460 57120517 60126860 114241034 228482068 285602585 571205170 1142410340