Search a number
-
+
541840335232 = 2771779744633
BaseRepresentation
bin1111110001010000011…
…00110110000110000000
31220210120210011222002011
413320220030312012000
532334142111211412
61052530142502304
754101210600110
oct7705014660600
91823523158064
10541840335232
1119987a81a649
1289019294994
133c1315736a1
141c321da7040
15e163e8e7a7
hex7e28336180

541840335232 has 128 divisors (see below), whose sum is σ = 1307890463040. Its totient is φ = 218278330368.

The previous prime is 541840335227. The next prime is 541840335293. The reversal of 541840335232 is 232533048145.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5418403352322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12117588 + ... + 12162220.

Almost surely, 2541840335232 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 541840335232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653945231520).

541840335232 is an abundant number, since it is smaller than the sum of its proper divisors (766050127808).

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

541840335232 is a wasteful number, since it uses less digits than its factorization.

541840335232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45468 (or 45456 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 541840335232 in words is "five hundred forty-one billion, eight hundred forty million, three hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 797 896 952 1088 1594 1904 2176 3188 3808 5579 6376 7616 11158 12752 13549 15232 22316 25504 27098 44632 44633 51008 54196 89264 89266 94843 102016 108392 178528 178532 189686 216784 312431 357056 357064 379372 433568 624862 714112 714128 758744 758761 867136 1249724 1428256 1517488 1517522 1734272 2499448 2856512 3034976 3035044 4998896 5311327 5713024 6069952 6070088 9997792 10622654 12139904 12140176 19995584 21245308 24280352 35572501 39991168 42490616 48560704 71145002 84981232 97121408 142290004 169962464 249007507 284580008 339924928 498015014 569160016 604732517 679849856 996030028 1138320032 1209465034 1992060056 2276640064 2418930068 3984120112 4233127619 4553280128 4837860136 7968240224 8466255238 9675720272 15936480448 16932510476 19351440544 31872960896 33865020952 38702881088 67730041904 77405762176 135460083808 270920167616 541840335232