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1040122314 = 2327211472281
BaseRepresentation
bin111101111111110…
…000000111001010
32200111011200120200
4331333300013022
54112232403224
6251113233030
734526615400
oct7577600712
92614150520
101040122314
11494138320
12250402776
131376475ba
149c1d3470
15614a95c9
hex3dff01ca

1040122314 has 144 divisors (see below), whose sum is σ = 2921982336. Its totient is φ = 264297600.

The previous prime is 1040122273. The next prime is 1040122319. The reversal of 1040122314 is 4132210401.

It is a super-3 number, since 3×10401223143 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1040122319) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 454854 + ... + 457134.

It is an arithmetic number, because the mean of its divisors is an integer number (20291544).

Almost surely, 21040122314 is an apocalyptic number.

1040122314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040122314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460991168).

1040122314 is an abundant number, since it is smaller than the sum of its proper divisors (1881860022).

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

1040122314 is a wasteful number, since it uses less digits than its factorization.

1040122314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1040122314 is about 32250.9273355046. The cubic root of 1040122314 is about 1013.1991213591.

Adding to 1040122314 its reverse (4132210401), we get a palindrome (5172332715).

The spelling of 1040122314 in words is "one billion, forty million, one hundred twenty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 47 49 63 66 77 94 98 99 126 141 147 154 198 231 282 294 329 423 441 462 517 539 658 693 846 882 987 1034 1078 1386 1551 1617 1974 2281 2303 2961 3102 3234 3619 4562 4606 4653 4851 5922 6843 6909 7238 9306 9702 10857 13686 13818 15967 20529 20727 21714 25091 25333 31934 32571 41058 41454 47901 50182 50666 65142 75273 75999 95802 107207 111769 143703 150546 151998 175637 214414 223538 225819 227997 287406 321621 335307 351274 451638 455994 526911 643242 670614 750449 964863 1005921 1053822 1179277 1229459 1500898 1580733 1929726 2011842 2251347 2358554 2458918 3161466 3537831 3688377 4502694 5253143 6754041 7075662 7376754 8254939 10506286 10613493 11065131 13508082 15759429 16509878 21226986 22130262 24764817 31518858 47278287 49529634 57784573 74294451 94556574 115569146 148588902 173353719 346707438 520061157 1040122314