Search a number
-
+
1419599809936 = 2471129311281727
BaseRepresentation
bin10100101010000110101…
…111100000110110010000
312000201020100111022011101
4110222012233200312100
5141224320022404221
63004053302354144
7204364002201040
oct24520657406620
95021210438141
101419599809936
114a805a0a1620
121ab16512b954
13a3b38404849
144c9cd6bb720
1526dd8bcad91
hex14a86be0d90

1419599809936 has 160 divisors (see below), whose sum is σ = 3661845626880. Its totient is φ = 516791923200.

The previous prime is 1419599809921. The next prime is 1419599809973. The reversal of 1419599809936 is 6399089959141.

It is a super-3 number, since 3×14195998099363 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466705 + ... + 1748431.

It is an arithmetic number, because the mean of its divisors is an integer number (22886535168).

Almost surely, 21419599809936 is an apocalyptic number.

1419599809936 is a gapful number since it is divisible by the number (16) 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 1419599809936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830922813440).

1419599809936 is an abundant number, since it is smaller than the sum of its proper divisors (2242245816944).

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

1419599809936 is a wasteful number, since it uses less digits than its factorization.

1419599809936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281813 (or 1281807 counting only the distinct ones).

The product of its (nonzero) digits is 170061120, while the sum is 73.

The spelling of 1419599809936 in words is "one trillion, four hundred nineteen billion, five hundred ninety-nine million, eight hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 31 44 56 58 62 77 88 112 116 124 154 176 203 217 232 248 308 319 341 406 434 464 496 616 638 682 812 868 899 1232 1276 1364 1624 1736 1798 2233 2387 2552 2728 3248 3472 3596 4466 4774 5104 5456 6293 7192 8932 9548 9889 12586 14384 17864 19096 19778 25172 35728 38192 39556 50344 69223 79112 100688 138446 158224 276892 553784 1107568 1281727 2563454 5126908 8972089 10253816 14098997 17944178 20507632 28197994 35888356 37170083 39733537 56395988 71776712 74340166 79467074 98692979 112791976 143553424 148680332 158934148 197385958 225583952 260190581 278134759 297360664 317868296 394771916 408870913 437068907 520381162 556269518 594721328 635736592 789543832 817741826 874137814 1040762324 1112539036 1152272573 1579087664 1635483652 1748275628 2081524648 2225078072 2304545146 2862096391 3059482349 3270967304 3496551256 4163049296 4450156144 4609090292 5724192782 6118964698 6541934608 6993102512 8065908011 9218180584 11448385564 12237929396 12674998303 16131816022 18436361168 22896771128 24475858792 25349996606 32263632044 45793542256 48951717584 50699993212 64527264088 88724988121 101399986424 129054528176 177449976242 202799972848 354899952484 709799904968 1419599809936