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5014380641137 = 741733173312281
BaseRepresentation
bin100100011111000000001…
…1000000111101101110001
3122202100222210211101110121
41020332000120013231301
51124123422421004022
614355324043330241
71025164012123450
oct110760030075561
918670883741417
105014380641137
11166365016904a
1268b9a1b20981
132a4b144c708a
141349a9624b97
158a67ee922c7
hex48f80607b71

5014380641137 has 64 divisors (see below), whose sum is σ = 5990345077248. Its totient is φ = 4108465152000.

The previous prime is 5014380641089. The next prime is 5014380641141. The reversal of 5014380641137 is 7311460834105.

It is a cyclic number.

It is not a de Polignac number, because 5014380641137 - 211 = 5014380639089 is a prime.

It is a super-2 number, since 2×50143806411372 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5014380641093 and 5014380641102.

It is not an unprimeable number, because it can be changed into a prime (5014380641177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2198324437 + ... + 2198326717.

It is an arithmetic number, because the mean of its divisors is an integer number (93599141832).

Almost surely, 25014380641137 is an apocalyptic number.

It is an amenable number.

5014380641137 is a deficient number, since it is larger than the sum of its proper divisors (975964436111).

5014380641137 is a wasteful number, since it uses less digits than its factorization.

5014380641137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050.

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 5014380641137 in words is "five trillion, fourteen billion, three hundred eighty million, six hundred forty-one thousand, one hundred thirty-seven".

Divisors: 1 7 41 73 287 317 331 511 2219 2281 2317 2993 12997 13571 15967 20951 23141 24163 90979 93521 94997 104927 161987 166513 169141 654647 723077 734489 755011 948781 990683 1165591 4302007 5061539 5285077 6641467 6827033 6934781 7659671 29646157 30114049 30955451 47789231 52784621 53617697 55115803 207523099 216688157 239338487 314046511 369492347 385810621 1675369409 2164169461 2198325577 2259747923 9812877967 15149186227 15818235461 17471709551 68690145769 122301966857 716340091591 5014380641137