Search a number
-
+
11402332143020 = 22572138837101279
BaseRepresentation
bin1010010111101100111111…
…1101001111110110101100
31111101001102010120012002122
42211323033331033312230
52443303434012034040
640130054205412112
72254535264031200
oct245731775176654
944331363505078
1011402332143020
1136a677a266935
121341a21b6a038
13649309c7ca80
142b5c39372b00
1514b902bc31b5
hexa5ecff4fdac

11402332143020 has 144 divisors (see below), whose sum is σ = 30000595242240. Its totient is φ = 3608206189056.

The previous prime is 11402332142939. The next prime is 11402332143047. The reversal of 11402332143020 is 2034123320411.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112532741 + ... + 112634019.

It is an arithmetic number, because the mean of its divisors is an integer number (208337466960).

Almost surely, 211402332143020 is an apocalyptic number.

11402332143020 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 11402332143020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000297621120).

11402332143020 is an abundant number, since it is smaller than the sum of its proper divisors (18598263099220).

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

11402332143020 is a wasteful number, since it uses less digits than its factorization.

11402332143020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110152 (or 110143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 11402332143020 its reverse (2034123320411), we get a palindrome (13436455463431).

The spelling of 11402332143020 in words is "eleven trillion, four hundred two billion, three hundred thirty-two million, one hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 8837 12740 17674 35348 44185 61859 88370 101279 114881 123718 176740 202558 229762 247436 309295 405116 433013 459524 506395 574405 618590 708953 804167 866026 1012790 1148810 1237180 1316627 1417906 1608334 1732052 2025580 2165065 2297620 2633254 2835812 3216668 3544765 4020835 4330130 4962671 5266508 5629169 6583135 7089530 8041670 8660260 9216389 9925342 11258338 13166270 14179060 16083340 18432778 19850684 22516676 24813355 26332540 28145845 36865556 46081945 49626710 56291690 64514723 92163890 99253420 112583380 129029446 184327780 258058892 322573615 645147230 895002523 1290294460 1790005046 3580010092 4475012615 6265017661 8950025230 11635032799 12530035322 17900050460 23270065598 25060070644 31325088305 43855123627 46540131196 58175163995 62650176610 81445229593 87710247254 116350327990 125300353220 162890459186 175420494508 219275618135 232700655980 325780918372 407226147965 438551236270 570116607151 814452295930 877102472540 1140233214302 1628904591860 2280466428604 2850583035755 5701166071510 11402332143020