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1142412040 = 235711735081
BaseRepresentation
bin100010000010111…
…1101001100001000
32221121122112201001
41010011331030020
54314424141130
6305205504344
740211225230
oct10405751410
92847575631
101142412040
11536953090
1227a7120b4
131528b0373
14aba1ccc0
156a4626ca
hex4417d308

1142412040 has 128 divisors (see below), whose sum is σ = 3249227520. Its totient is φ = 351129600.

The previous prime is 1142411983. The next prime is 1142412043. The reversal of 1142412040 is 402142411.

It is a junction number, because it is equal to n+sod(n) for n = 1142411999 and 1142412017.

It is not an unprimeable number, because it can be changed into a prime (1142412043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222300 + ... + 227380.

It is an arithmetic number, because the mean of its divisors is an integer number (25384590).

Almost surely, 21142412040 is an apocalyptic number.

1142412040 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 1142412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624613760).

1142412040 is an abundant number, since it is smaller than the sum of its proper divisors (2106815480).

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

1142412040 is a wasteful number, since it uses less digits than its factorization.

1142412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1142412040 is about 33799.5863880019. The cubic root of 1142412040 is about 1045.3801689059.

Adding to 1142412040 its reverse (402142411), we get a palindrome (1544554451).

It can be divided in two parts, 114241 and 2040, that added together give a square (116281 = 3412).

The spelling of 1142412040 in words is "one billion, one hundred forty-two million, four hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 73 77 88 110 140 146 154 220 280 292 308 365 385 440 511 584 616 730 770 803 1022 1460 1540 1606 2044 2555 2920 3080 3212 4015 4088 5081 5110 5621 6424 8030 10162 10220 11242 16060 20324 20440 22484 25405 28105 32120 35567 40648 44968 50810 55891 56210 71134 101620 111782 112420 142268 177835 203240 223564 224840 279455 284536 355670 370913 391237 447128 558910 711340 741826 782474 1117820 1422680 1483652 1564948 1854565 1956185 2235640 2596391 2967304 3129896 3709130 3912370 4080043 5192782 7418260 7824740 8160086 10385564 12981955 14836520 15649480 16320172 20400215 20771128 25963910 28560301 32640344 40800430 51927820 57120602 81600860 103855640 114241204 142801505 163201720 228482408 285603010 571206020 1142412040