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6340256155242 = 2331737473339439
BaseRepresentation
bin101110001000011010010…
…1101110100011001101010
3211110010022100112011002000
41130100310231310121222
51312334321033431432
621252401245151430
71223032313053602
oct134206455643152
924403270464060
106340256155242
112024984344a39
1286494ab5b576
1336cb6432a1b9
1417cc2753bc02
15aedd087b57c
hex5c434b7466a

6340256155242 has 128 divisors (see below), whose sum is σ = 15325071436800. Its totient is φ = 1934882546688.

The previous prime is 6340256155241. The next prime is 6340256155253. The reversal of 6340256155242 is 2425516520436.

6340256155242 is a `hidden beast` number, since 6 + 3 + 4 + 0 + 2 + 5 + 615 + 5 + 24 + 2 = 666.

It is a super-2 number, since 2×63402561552422 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6340256155241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160741359 + ... + 160780797.

It is an arithmetic number, because the mean of its divisors is an integer number (119727120600).

Almost surely, 26340256155242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6340256155242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7662535718400).

6340256155242 is an abundant number, since it is smaller than the sum of its proper divisors (8984815281558).

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

6340256155242 is a wasteful number, since it uses less digits than its factorization.

6340256155242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44237 (or 44231 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 6340256155242 in words is "six trillion, three hundred forty billion, two hundred fifty-six million, one hundred fifty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 102 111 153 222 306 333 459 629 666 918 999 1258 1887 1998 3774 4733 5661 9466 11322 14199 16983 28398 33966 39439 42597 78878 80461 85194 118317 127791 160922 175121 236634 241383 255582 350242 354951 482766 525363 670463 709902 724149 1050726 1064853 1340926 1448298 1459243 1576089 2011389 2129706 2172447 2918486 2977057 3152178 4022778 4344894 4377729 4728267 5954114 6034167 8755458 8931171 9456534 12068334 13133187 17862342 18102501 24807131 26266374 26793513 36205002 39399561 49614262 53587026 74421393 78799122 80380539 148842786 160761078 186664787 223264179 373329574 446528358 559994361 669792537 1119988722 1339585074 1679983083 3173301379 3359966166 5039949249 6346602758 6906597119 9519904137 10079898498 13813194238 19039808274 20719791357 28559712411 41439582714 57119424822 62159374071 85679137233 117412151023 124318748142 171358274466 186478122213 234824302046 352236453069 372956244426 704472906138 1056709359207 2113418718414 3170128077621 6340256155242