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214061552322415 = 5743683208248301
BaseRepresentation
bin110000101011000000010110…
…110010010100011101101111
31001001221002021122002222002221
4300223000112302110131233
5211024141024343304130
62035134304120300211
763042302551050250
oct6053002662243557
91031832248088087
10214061552322415
116222aaa3792886
1220012690911667
139259bc1451785
143ac08c4b88b27
1519b3373b2287a
hexc2b016c9476f

214061552322415 has 32 divisors (see below), whose sum is σ = 300837163055616. Its totient is φ = 143161543324800.

The previous prime is 214061552322413. The next prime is 214061552322419. The reversal of 214061552322415 is 514223255160412.

It is not a de Polignac number, because 214061552322415 - 21 = 214061552322413 is a prime.

It is a super-2 number, since 2×2140615523224152 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214061552322413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103096236 + ... + 105152065.

It is an arithmetic number, because the mean of its divisors is an integer number (9401161345488).

Almost surely, 2214061552322415 is an apocalyptic number.

214061552322415 is a deficient number, since it is larger than the sum of its proper divisors (86775610733201).

214061552322415 is a wasteful number, since it uses less digits than its factorization.

214061552322415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208249039.

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 214061552322415 in words is "two hundred fourteen trillion, sixty-one billion, five hundred fifty-two million, three hundred twenty-two thousand, four hundred fifteen".

Divisors: 1 5 7 35 43 215 301 683 1505 3415 4781 23905 29369 146845 205583 1027915 208248301 1041241505 1457738107 7288690535 8954676943 44773384715 62682738601 142233589583 313413693005 711167947915 995635127081 4978175635405 6116044352069 30580221760345 42812310464483 214061552322415