Search a number
-
+
1379004741888 = 28310732295197
BaseRepresentation
bin10100000100010011000…
…101100111100100000000
311212211110012201011202120
4110010103011213210000
5140043200203220023
62533301145244240
7201426010622004
oct24042305474400
94784405634676
101379004741888
11491918254104
121a3315a93680
13a0068c92517
144aa5c08c704
1525d0ed4c8e3
hex14113167900

1379004741888 has 144 divisors (see below), whose sum is σ = 3706324534080. Its totient is φ = 455143661568.

The previous prime is 1379004741883. The next prime is 1379004741911. The reversal of 1379004741888 is 8881474009731.

It is not an unprimeable number, because it can be changed into a prime (1379004741883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265343706 + ... + 265348902.

It is an arithmetic number, because the mean of its divisors is an integer number (25738364820).

Almost surely, 21379004741888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1379004741888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853162267040).

1379004741888 is an abundant number, since it is smaller than the sum of its proper divisors (2327319792192).

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

1379004741888 is a wasteful number, since it uses less digits than its factorization.

1379004741888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8552 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 1379004741888 in words is "one trillion, three hundred seventy-nine billion, four million, seven hundred forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 642 768 856 1284 1712 2568 3229 3424 5136 5197 6458 6848 9687 10272 10394 12916 13696 15591 19374 20544 20788 25832 27392 31182 38748 41088 41576 51664 62364 77496 82176 83152 103328 124728 154992 166304 206656 249456 309984 332608 345503 413312 498912 556079 619968 665216 691006 826624 997824 1036509 1112158 1239936 1330432 1382012 1668237 1995648 2073018 2224316 2479872 2764024 3336474 3991296 4146036 4448632 5528048 6672948 8292072 8897264 11056096 13345896 16584144 16781113 17794528 22112192 26691792 33168288 33562226 35589056 44224384 50343339 53383584 66336576 67124452 71178112 88448768 100686678 106767168 132673152 134248904 142356224 201373356 213534336 265346304 268497808 402746712 427068672 536995616 805493424 1073991232 1610986848 1795579091 2147982464 3221973696 3591158182 4295964928 5386737273 6443947392 7182316364 10773474546 12887894784 14364632728 21546949092 28729265456 43093898184 57458530912 86187796368 114917061824 172375592736 229834123648 344751185472 459668247296 689502370944 1379004741888