Search a number
-
+
540403441104 = 243174018271997
BaseRepresentation
bin1111101110100101000…
…11100001110111010000
31220122212122102011220010
413313102203201313100
532323221240103404
61052131413114520
754020462313312
oct7672243416720
91818778364803
10540403441104
1119920272183a
1288898028a40
133bc62977c87
141c22720d7b2
15e0ccc5d189
hex7dd28e1dd0

540403441104 has 160 divisors (see below), whose sum is σ = 1484383314816. Its totient is φ = 168826470400.

The previous prime is 540403441103. The next prime is 540403441187. The reversal of 540403441104 is 401144304045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540403441103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270606634 + ... + 270608630.

Almost surely, 2540403441104 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 540403441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742191657408).

540403441104 is an abundant number, since it is smaller than the sum of its proper divisors (943979873712).

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

540403441104 is a wasteful number, since it uses less digits than its factorization.

540403441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 540403441104 its reverse (401144304045), we get a palindrome (941547745149).

The spelling of 540403441104 in words is "five hundred forty billion, four hundred three million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 401 408 802 816 827 1203 1604 1654 1997 2406 2481 3208 3308 3994 4812 4962 5991 6416 6616 6817 7988 9624 9924 11982 13232 13634 14059 15976 19248 19848 20451 23964 27268 28118 31952 33949 39696 40902 42177 47928 54536 56236 67898 81804 84354 95856 101847 109072 112472 135796 163608 168708 203694 224944 271592 327216 331627 337416 407388 543184 663254 674832 800797 814776 994881 1326508 1601594 1629552 1651519 1989762 2402391 2653016 3203188 3303038 3979524 4804782 4954557 5306032 5637659 6406376 6606076 7959048 9609564 9909114 11275318 12812752 13212152 13613549 15918096 16912977 19219128 19818228 22550636 26424304 27227098 28075823 33825954 38438256 39636456 40840647 45101272 54454196 56151646 67651908 79272912 81681294 84227469 90202544 108908392 112303292 135303816 163362588 168454938 217816784 224606584 270607632 326725176 336909876 449213168 653450352 662259119 673819752 1324518238 1347639504 1986777357 2649036476 3973554714 5298072952 7947109428 10596145904 11258405023 15894218856 22516810046 31788437712 33775215069 45033620092 67550430138 90067240184 135100860276 180134480368 270201720552 540403441104