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1442797440 = 27357107351
BaseRepresentation
bin101010111111111…
…0101011110000000
310201112212201000020
41111333311132000
510423324004230
6355100053440
750516401350
oct12577653600
93645781006
101442797440
11680470087
12343234280
1319cbb46c6
14d9892b60
15869ea810
hex55ff5780

1442797440 has 128 divisors (see below), whose sum is σ = 5255953920. Its totient is φ = 329779200.

The previous prime is 1442797439. The next prime is 1442797469. The reversal of 1442797440 is 447972441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1442797392 and 1442797401.

It is a congruent number.

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, 40236 + ... + 67115.

It is an arithmetic number, because the mean of its divisors is an integer number (41062140).

Almost surely, 21442797440 is an apocalyptic number.

1442797440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442797440 is an abundant number, since it is smaller than the sum of its proper divisors (3813156480).

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

1442797440 is a wasteful number, since it uses less digits than its factorization.

1442797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107380 (or 107368 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 1442797440 is about 37984.1735463601. The cubic root of 1442797440 is about 1129.9740093743.

The spelling of 1442797440 in words is "one billion, four hundred forty-two million, seven hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 107351 214702 322053 429404 536755 644106 751457 858808 1073510 1288212 1502914 1610265 1717616 2147020 2254371 2576424 3005828 3220530 3435232 3757285 4294040 4508742 5152848 6011656 6441060 6870464 7514570 8588080 9017484 10305696 11271855 12023312 12882120 13740928 15029140 17176160 18034968 20611392 22543710 24046624 25764240 30058280 34352320 36069936 41222784 45087420 48093248 51528480 60116560 68704640 72139872 90174840 96186496 103056960 120233120 144279744 180349680 206113920 240466240 288559488 360699360 480932480 721398720 1442797440