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1442061360 = 243352329027
BaseRepresentation
bin101010111110100…
…0001110000110000
310201111111022022000
41111331001300300
510423131430420
6355032214000
750510214345
oct12575016060
93644438260
101442061360
11680008053
12342b3a300
1319c9b765c
14d97407cc
1586902690
hex55f41c30

1442061360 has 160 divisors (see below), whose sum is σ = 5183239680. Its totient is φ = 367817472.

The previous prime is 1442061359. The next prime is 1442061367. The reversal of 1442061360 is 631602441.

1442061360 is a `hidden beast` number, since 1 + 4 + 42 + 0 + 613 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1442061367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35167 + ... + 64193.

It is an arithmetic number, because the mean of its divisors is an integer number (32395248).

Almost surely, 21442061360 is an apocalyptic number.

1442061360 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 1442061360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591619840).

1442061360 is an abundant number, since it is smaller than the sum of its proper divisors (3741178320).

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

1442061360 is a wasteful number, since it uses less digits than its factorization.

1442061360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29072 (or 29060 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1442061360 is about 37974.4830116224. The cubic root of 1442061360 is about 1129.7818149765.

The spelling of 1442061360 in words is "one billion, four hundred forty-two million, sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16560 24840 29027 49680 58054 87081 116108 145135 174162 232216 261243 290270 348324 435405 464432 522486 580540 667621 696648 783729 870810 1044972 1161080 1306215 1335242 1393296 1567458 1741620 2002863 2089944 2322160 2612430 2670484 3134916 3338105 3483240 3918645 4005726 4179888 5224860 5340968 6008589 6269832 6676210 6966480 7837290 8011452 10014315 10449720 10681936 12017178 12539664 13352420 15674580 16022904 18025767 20028630 20899440 24034356 26704840 30042945 31349160 32045808 36051534 40057260 48068712 53409680 60085890 62698320 72103068 80114520 90128835 96137424 120171780 144206136 160229040 180257670 240343560 288412272 360515340 480687120 721030680 1442061360