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144218000815 = 5741533834951
BaseRepresentation
bin1000011001010000010…
…0000000110110101111
3111210020210121112002121
42012110010000312233
54330324302011230
6150130340133411
713263566531530
oct2062404006657
9453223545077
10144218000815
1156187335629
1223b4a397267
13107a4701175
146da18cc687
153b411a977a
hex2194100daf

144218000815 has 64 divisors (see below), whose sum is σ = 207012298752. Its totient is φ = 94393728000.

The previous prime is 144218000813. The next prime is 144218000827. The reversal of 144218000815 is 518000812441.

It is a happy number.

It is not a de Polignac number, because 144218000815 - 21 = 144218000813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144218000813) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29126590 + ... + 29131540.

It is an arithmetic number, because the mean of its divisors is an integer number (3234567168).

Almost surely, 2144218000815 is an apocalyptic number.

144218000815 is a deficient number, since it is larger than the sum of its proper divisors (62794297937).

144218000815 is a wasteful number, since it uses less digits than its factorization.

144218000815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440.

The product of its (nonzero) digits is 10240, while the sum is 34.

The spelling of 144218000815 in words is "one hundred forty-four billion, two hundred eighteen million, eight hundred fifteen", and thus it is an aban number.

Divisors: 1 5 7 35 41 53 205 265 287 371 383 1435 1855 1915 2173 2681 4951 10865 13405 15211 15703 20299 24755 34657 76055 78515 101495 109921 142093 173285 202991 262403 549605 710465 832259 1014955 1312015 1420937 1836821 1896233 4161295 5825813 7104685 9184105 9481165 10758523 13273631 29129065 53792615 66368155 75309661 77745553 100500349 376548305 388727765 502501745 544218871 703502443 2721094355 3517512215 4120514309 20602571545 28843600163 144218000815