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144111011478 = 2376190762017
BaseRepresentation
bin1000011000110110101…
…1111000011010010110
3111202222100021220022120
42012031223320122112
54330114404331403
6150111555040410
713261130246340
oct2061553703226
9452870256276
10144111011478
11561319aa995
1223b1a5a0106
13107884b1275
146d915dc290
153b36ac3e53
hex218daf8696

144111011478 has 64 divisors (see below), whose sum is σ = 335171071488. Its totient is φ = 40454277120.

The previous prime is 144111011477. The next prime is 144111011509. The reversal of 144111011478 is 874110111441.

It is a happy number.

144111011478 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144111011477) 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 31 ways as a sum of consecutive naturals, for example, 2292726 + ... + 2354742.

It is an arithmetic number, because the mean of its divisors is an integer number (5237047992).

Almost surely, 2144111011478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144111011478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167585535744).

144111011478 is an abundant number, since it is smaller than the sum of its proper divisors (191060060010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144111011478 is a wasteful number, since it uses less digits than its factorization.

144111011478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62997.

The product of its (nonzero) digits is 3584, while the sum is 33.

The spelling of 144111011478 in words is "one hundred forty-four billion, one hundred eleven million, eleven thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 366 427 854 907 1281 1814 2562 2721 5442 6349 12698 19047 38094 55327 62017 110654 124034 165981 186051 331962 372102 387289 434119 774578 868238 1161867 1302357 2323734 2604714 3783037 7566074 11349111 22698222 26481259 52962518 56249419 79443777 112498838 158887554 168748257 337496514 393745933 787491866 1181237799 2362475598 3431214559 6862429118 10293643677 20587287354 24018501913 48037003826 72055505739 144111011478