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1399856544 = 253223233907
BaseRepresentation
bin101001101110000…
…0001110110100000
310121120002002011200
41103130001312200
510331330402134
6350523441200
746455404262
oct12334016640
93546062150
101399856544
11659200a39
12330986200
1319402b3a8
14d3cb5b32
1582d67499
hex53701da0

1399856544 has 144 divisors (see below), whose sum is σ = 4176349632. Its totient is φ = 443925504.

The previous prime is 1399856533. The next prime is 1399856573. The reversal of 1399856544 is 4456589931.

1399856544 is a `hidden beast` number, since 1 + 3 + 9 + 98 + 5 + 6 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1542939 + ... + 1543845.

It is an arithmetic number, because the mean of its divisors is an integer number (29002428).

Almost surely, 21399856544 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 1399856544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088174816).

1399856544 is an abundant number, since it is smaller than the sum of its proper divisors (2776493088).

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

1399856544 is a wasteful number, since it uses less digits than its factorization.

1399856544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1168 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 1399856544 is about 37414.6568071926. The cubic root of 1399856544 is about 1118.6507306236.

The spelling of 1399856544 in words is "one billion, three hundred ninety-nine million, eight hundred fifty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 233 276 288 368 414 466 552 699 736 828 907 932 1104 1398 1656 1814 1864 2097 2208 2721 2796 3312 3628 3728 4194 5359 5442 5592 6624 7256 7456 8163 8388 10718 10884 11184 14512 16077 16326 16776 20861 21436 21768 22368 29024 32154 32652 33552 41722 42872 43536 48231 62583 64308 65304 67104 83444 85744 87072 96462 125166 128616 130608 166888 171488 187749 192924 211331 250332 257232 261216 333776 375498 385848 422662 500664 514464 633993 667552 750996 771696 845324 1001328 1267986 1501992 1543392 1690648 1901979 2002656 2535972 3003984 3381296 3803958 4860613 5071944 6007968 6762592 7607916 9721226 10143888 14581839 15215832 19442452 20287776 29163678 30431664 38884904 43745517 58327356 60863328 77769808 87491034 116654712 155539616 174982068 233309424 349964136 466618848 699928272 1399856544