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1014221040 = 243572332591
BaseRepresentation
bin111100011100111…
…100100011110000
32121200102202201020
4330130330203300
54034120033130
6244350135440
734063510440
oct7434744360
92550382636
101014221040
11480557308
122437b1580
131321790c1
14989b0120
155e08ee10
hex3c73c8f0

1014221040 has 160 divisors (see below), whose sum is σ = 3610054656. Its totient is φ = 230737920.

The previous prime is 1014220937. The next prime is 1014221051. The reversal of 1014221040 is 401224101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390145 + ... + 392735.

Almost surely, 21014221040 is an apocalyptic number.

1014221040 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 1014221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805027328).

1014221040 is an abundant number, since it is smaller than the sum of its proper divisors (2595833616).

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

1014221040 is a wasteful number, since it uses less digits than its factorization.

1014221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1014221040 is about 31846.8372056002. The cubic root of 1014221040 is about 1004.7180516474.

Adding to 1014221040 its reverse (401224101), we get a palindrome (1415445141).

The spelling of 1014221040 in words is "one billion, fourteen million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 233 240 280 336 420 466 560 699 840 932 1165 1398 1631 1680 1864 2330 2591 2796 3262 3495 3728 4660 4893 5182 5592 6524 6990 7773 8155 9320 9786 10364 11184 12955 13048 13980 15546 16310 18137 18640 19572 20728 24465 25910 26096 27960 31092 32620 36274 38865 39144 41456 48930 51820 54411 55920 62184 65240 72548 77730 78288 90685 97860 103640 108822 124368 130480 145096 155460 181370 195720 207280 217644 272055 290192 310920 362740 391440 435288 544110 603703 621840 725480 870576 1088220 1207406 1450960 1811109 2176440 2414812 3018515 3622218 4225921 4352880 4829624 6037030 7244436 8451842 9055545 9659248 12074060 12677763 14488872 16903684 18111090 21129605 24148120 25355526 28977744 33807368 36222180 42259210 48296240 50711052 63388815 67614736 72444360 84518420 101422104 126777630 144888720 169036840 202844208 253555260 338073680 507110520 1014221040