Search a number
-
+
1285322447040 = 26356719983247
BaseRepresentation
bin10010101101000011001…
…100000001100011000000
311112212122022221111201120
4102231003030001203000
5132024320021301130
62422245144432240
7161601326351652
oct22550314014300
94485568844646
101285322447040
11456114016435
1218912ba78680
1394289308368
14462d20dc6d2
152367a5a5910
hex12b433018c0

1285322447040 has 112 divisors (see below), whose sum is σ = 4141807913472. Its totient is φ = 337636924416.

The previous prime is 1285322447011. The next prime is 1285322447053. The reversal of 1285322447040 is 407442235821.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1285322446983 and 1285322447001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9927304 + ... + 10055943.

Almost surely, 21285322447040 is an apocalyptic number.

1285322447040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1285322447040 is an abundant number, since it is smaller than the sum of its proper divisors (2856485466432).

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

1285322447040 is a wasteful number, since it uses less digits than its factorization.

1285322447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19983334 (or 19983324 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 1285322447040 in words is "one trillion, two hundred eighty-five billion, three hundred twenty-two million, four hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2680 3216 4020 4288 5360 6432 8040 10720 12864 16080 21440 32160 64320 19983247 39966494 59949741 79932988 99916235 119899482 159865976 199832470 239798964 299748705 319731952 399664940 479597928 599497410 639463904 799329880 959195856 1198994820 1278927808 1338877549 1598659760 1918391712 2397989640 2677755098 3197319520 3836783424 4016632647 4795979280 5355510196 6394639040 6694387745 8033265294 9591958560 10711020392 13388775490 16066530588 19183917120 20083163235 21422040784 26777550980 32133061176 40166326470 42844081568 53555101960 64266122352 80332652940 85688163136 107110203920 128532244704 160665305880 214220407840 257064489408 321330611760 428440815680 642661223520 1285322447040