Search a number
-
+
2040412013500 = 225372731140851
BaseRepresentation
bin11101101100010010000…
…010001000001110111100
321020001122211011211201211
4131230102002020032330
5231412230433413000
64201204034414204
7300262211644300
oct35542202101674
97201584154654
102040412013500
1171737442a753
1228b541a31364
1311a543aa33b3
1470a83a6bd00
1538120c4c7ba
hex1db120883bc

2040412013500 has 144 divisors (see below), whose sum is σ = 5254828199712. Its totient is φ = 689986080000.

The previous prime is 2040412013467. The next prime is 2040412013533. The reversal of 2040412013500 is 53102140402.

It is an interprime number because it is at equal distance from previous prime (2040412013467) and next prime (2040412013533).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1218075 + ... + 2358925.

It is an arithmetic number, because the mean of its divisors is an integer number (36491862498).

Almost surely, 22040412013500 is an apocalyptic number.

2040412013500 is a gapful number since it is divisible by the number (20) 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 2040412013500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627414099856).

2040412013500 is an abundant number, since it is smaller than the sum of its proper divisors (3214416186212).

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

2040412013500 is a wasteful number, since it uses less digits than its factorization.

2040412013500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140957 (or 1140938 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 2040412013500 its reverse (53102140402), we get a palindrome (2093514153902).

The spelling of 2040412013500 in words is "two trillion, forty billion, four hundred twelve million, thirteen thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 73 98 100 125 140 146 175 196 245 250 292 350 365 490 500 511 700 730 875 980 1022 1225 1460 1750 1825 2044 2450 2555 3500 3577 3650 4900 5110 6125 7154 7300 9125 10220 12250 12775 14308 17885 18250 24500 25550 35770 36500 51100 63875 71540 89425 127750 178850 255500 357700 447125 894250 1140851 1788500 2281702 4563404 5704255 7985957 11408510 15971914 22817020 28521275 31943828 39929785 55901699 57042550 79859570 83282123 111803398 114085100 142606375 159719140 166564246 199648925 223606796 279508495 285212750 333128492 399297850 416410615 559016990 570425500 582974861 798595700 832821230 998244625 1118033980 1165949722 1397542475 1665642460 1996489250 2082053075 2331899444 2795084950 2914874305 3992978500 4080824027 4164106150 5590169900 5829748610 6987712375 8161648054 8328212300 10410265375 11659497220 13975424750 14574371525 16323296108 20404120135 20820530750 27950849500 29148743050 40808240270 41641061500 58297486100 72871857625 81616480540 102020600675 145743715250 204041201350 291487430500 408082402700 510103003375 1020206006750 2040412013500