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1141214402020 = 225711612199153
BaseRepresentation
bin10000100110110101101…
…011011101010111100100
311001002200012020022121211
4100212311223131113210
5122144201341331040
62232133333121204
7145310233236010
oct20466553352744
94032605208554
101141214402020
113aaa93862270
12165212489204
13838016253c4
143d341073540
151ea43dba8ea
hex109b5add5e4

1141214402020 has 144 divisors (see below), whose sum is σ = 3037707114624. Its totient is φ = 349870233600.

The previous prime is 1141214401993. The next prime is 1141214402033. The reversal of 1141214402020 is 202044121411.

It is a super-2 number, since 2×11412144020202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1141214401982 and 1141214402000.

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, 5630764 + ... + 5829916.

It is an arithmetic number, because the mean of its divisors is an integer number (21095188296).

Almost surely, 21141214402020 is an apocalyptic number.

1141214402020 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 1141214402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518853557312).

1141214402020 is an abundant number, since it is smaller than the sum of its proper divisors (1896492712604).

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

1141214402020 is a wasteful number, since it uses less digits than its factorization.

1141214402020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199302 (or 199239 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1141214402020 its reverse (202044121411), we get a palindrome (1343258523431).

The spelling of 1141214402020 in words is "one trillion, one hundred forty-one billion, two hundred fourteen million, four hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 61 70 77 110 122 140 154 220 244 305 308 385 427 610 671 770 854 1220 1342 1540 1708 2135 2684 3355 3721 4270 4697 6710 7442 8540 9394 13420 14884 18605 18788 23485 26047 37210 40931 46970 52094 74420 81862 93940 104188 130235 163724 199153 204655 260470 286517 398306 409310 520940 573034 796612 818620 995765 1146068 1394071 1432585 1991530 2190683 2788142 2865170 3983060 4381366 5576284 5730340 6970355 8762732 10953415 12148333 13940710 15334781 21906830 24296666 27881420 30669562 43813660 48593332 60741665 61339124 76673905 85038331 121483330 133631663 153347810 170076662 242966660 267263326 306695620 340153324 425191655 534526652 668158315 741048313 850383310 935421641 1336316630 1482096626 1700766620 1870843282 2672633260 2964193252 3705241565 3741686564 4677108205 5187338191 7410483130 8151531443 9354216410 10374676382 14820966260 16303062886 18708432820 20749352764 25936690955 32606125772 40757657215 51873381910 57060720101 81515314430 103746763820 114121440202 163030628860 228242880404 285303600505 570607201010 1141214402020