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2140414984192 = 2141729264991
BaseRepresentation
bin11111001001011010101…
…011001100000000000000
321120121210012102010000011
4133021122223030000000
5240032032213443232
64315143145234304
7310432323114562
oct37113253140000
97517705363004
102140414984192
11755821504771
122a69b0792994
13126ac00b3034
147584d263332
153aa25372547
hex1f25aacc000

2140414984192 has 120 divisors (see below), whose sum is σ = 4688816146560. Its totient is φ = 972517539840.

The previous prime is 2140414984159. The next prime is 2140414984207. The reversal of 2140414984192 is 2914894140412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7944817 + ... + 8209807.

It is an arithmetic number, because the mean of its divisors is an integer number (39073467888).

Almost surely, 22140414984192 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 2140414984192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344408073280).

2140414984192 is an abundant number, since it is smaller than the sum of its proper divisors (2548401162368).

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

2140414984192 is an equidigital number, since it uses as much as digits as its factorization.

2140414984192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265065 (or 265039 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 2140414984192 in words is "two trillion, one hundred forty billion, four hundred fourteen million, nine hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 256 272 464 493 512 544 928 986 1024 1088 1856 1972 2048 2176 3712 3944 4096 4352 7424 7888 8192 8704 14848 15776 16384 17408 29696 31552 34816 59392 63104 69632 118784 126208 139264 237568 252416 264991 278528 475136 504832 529982 1009664 1059964 2019328 2119928 4038656 4239856 4504847 7684739 8077312 8479712 9009694 15369478 16959424 18019388 30738956 33918848 36038776 61477912 67837696 72077552 122955824 130640563 135675392 144155104 245911648 261281126 271350784 288310208 491823296 522562252 542701568 576620416 983646592 1045124504 1085403136 1153240832 1967293184 2090249008 2170806272 2306481664 3934586368 4180498016 4341612544 4612963328 7869172736 8360996032 9225926656 15738345472 16721992064 18451853312 31476690944 33443984128 36903706624 62953381888 66887968256 73807413248 125906763776 133775936512 267551873024 535103746048 1070207492096 2140414984192