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438101138501481 = 37133343794799243
BaseRepresentation
bin110001110011100110101111…
…0101111000110111101101001
32010110012001121121021111011110
41203213031132233012331221
5424410322112424021411
64151432515023220533
7161164522422406650
oct14347153657067551
92113161547244143
10438101138501481
11117657716457aa4
1241176b28a47749
1315a5b9b5c01cb0
147a282cb5b6197
15359b038ee62a6
hex18e735ebc6f69

438101138501481 has 32 divisors (see below), whose sum is σ = 718937501506560. Its totient is φ = 231085575572544.

The previous prime is 438101138501479. The next prime is 438101138501497. The reversal of 438101138501481 is 184105831101834.

It is not a de Polignac number, because 438101138501481 - 21 = 438101138501479 is a prime.

It is a super-2 number, since 2×4381011385014812 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 438101138501481.

It is not an unprimeable number, because it can be changed into a prime (438101138501381) 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, 88885846 + ... + 93685088.

It is an arithmetic number, because the mean of its divisors is an integer number (22466796922080).

Almost surely, 2438101138501481 is an apocalyptic number.

It is an amenable number.

438101138501481 is a deficient number, since it is larger than the sum of its proper divisors (280836363005079).

438101138501481 is a wasteful number, since it uses less digits than its factorization.

438101138501481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5133645.

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 438101138501481 in words is "four hundred thirty-eight trillion, one hundred one billion, one hundred thirty-eight million, five hundred one thousand, four hundred eighty-one".

Divisors: 1 3 7 13 21 39 91 273 334379 1003137 2340653 4346927 4799243 7021959 13040781 14397729 30428489 33594701 62390159 91285467 100784103 187170477 436731113 1310193339 1604766075097 4814298225291 11233362525679 20861958976261 33700087577037 62585876928783 146033712833827 438101138501481