Search a number
-
+
4402015145541 = 33131071494631699
BaseRepresentation
bin100000000001110110010…
…0011001000111001000101
3120120211101000010001221000
41000003230203020321011
51034110311334124131
613210131405443513
7633015016236036
oct100035443107105
916524330101830
104402015145541
11144797a875702
125b1181b70599
1325c153a84a90
141130b6dc0a8d
157978e758ce6
hex400ec8c8e45

4402015145541 has 128 divisors (see below), whose sum is σ = 7155993600000. Its totient is φ = 2658281649408.

The previous prime is 4402015145519. The next prime is 4402015145569. The reversal of 4402015145541 is 1455415102044.

4402015145541 is a `hidden beast` number, since 4 + 4 + 0 + 20 + 1 + 51 + 45 + 541 = 666.

It is not a de Polignac number, because 4402015145541 - 215 = 4402015112773 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4402015145496 and 4402015145505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4402015145641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2590943910 + ... + 2590945608.

It is an arithmetic number, because the mean of its divisors is an integer number (55906200000).

Almost surely, 24402015145541 is an apocalyptic number.

It is an amenable number.

4402015145541 is a deficient number, since it is larger than the sum of its proper divisors (2753978454459).

4402015145541 is a wasteful number, since it uses less digits than its factorization.

4402015145541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 4402015145541 in words is "four trillion, four hundred two billion, fifteen million, one hundred forty-five thousand, five hundred forty-one".

Divisors: 1 3 9 13 27 39 107 117 149 321 351 447 463 963 1341 1389 1391 1699 1937 2889 4023 4167 4173 5097 5811 6019 12501 12519 15291 15943 17433 18057 22087 37557 45873 47829 49541 52299 54171 66261 68987 143487 148623 162513 181793 198783 206961 207259 253151 430461 445869 545379 596349 620883 621777 644033 759453 786637 896831 1337607 1636137 1862649 1865331 1932099 2278359 2359911 2363309 2690493 3290963 4908411 5595993 5796297 6835077 7079733 7089927 7381609 8071479 9872889 10226281 17388891 21239199 21269781 22144827 24214437 27087157 29618667 30678843 63809343 66434481 81261471 84170159 88856001 92036529 95960917 117208913 199303443 243784413 252510477 276109587 287882751 351626739 352133041 731353239 757531431 863648253 1054880217 1056399123 1094212067 1523715869 2272594293 2590944759 3164640651 3169197369 3282636201 4571147607 9507592107 9847908603 12541353691 13713442821 29543725809 37624061073 41140328463 112872183219 163037597983 338616549657 489112793949 1467338381847 4402015145541