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142314215544 = 2335103970459
BaseRepresentation
bin1000010010001010010…
…1101001100001111000
3111121100010022012200000
42010202211221201320
54312424414344134
6145213411313000
713165451605254
oct2044245514170
9447303265600
10142314215544
115539a734576
12236b88ab760
13105601736c7
146c60b1b264
153a7de9ee99
hex2122969878

142314215544 has 96 divisors (see below), whose sum is σ = 400100064000. Its totient is φ = 47391741792.

The previous prime is 142314215543. The next prime is 142314215647. The reversal of 142314215544 is 445512413241.

142314215544 is a `hidden beast` number, since 1 + 42 + 31 + 42 + 1 + 5 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142314215499 and 142314215508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142314215543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1984587 + ... + 2055045.

It is an arithmetic number, because the mean of its divisors is an integer number (4167709000).

Almost surely, 2142314215544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142314215544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200050032000).

142314215544 is an abundant number, since it is smaller than the sum of its proper divisors (257785848456).

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

142314215544 is a wasteful number, since it uses less digits than its factorization.

142314215544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71519 (or 71503 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 142314215544 its reverse (445512413241), we get a palindrome (587826628785).

The spelling of 142314215544 in words is "one hundred forty-two billion, three hundred fourteen million, two hundred fifteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1039 1944 2078 3117 4156 6234 8312 9351 12468 18702 24936 28053 37404 56106 70459 74808 84159 112212 140918 168318 211377 224424 252477 281836 336636 422754 504954 563672 634131 673272 845508 1009908 1268262 1691016 1902393 2019816 2536524 3804786 5073048 5707179 7609572 11414358 15219144 17121537 22828716 34243074 45657432 68486148 73206901 136972296 146413802 219620703 292827604 439241406 585655208 658862109 878482812 1317724218 1756965624 1976586327 2635448436 3953172654 5270896872 5929758981 7906345308 11859517962 15812690616 17789276943 23719035924 35578553886 47438071848 71157107772 142314215544