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142211365888 = 2101779103409
BaseRepresentation
bin1000010001110001110…
…1010011110000000000
3111121001221202220110111
42010130131103300000
54312222102202023
6145155255041104
713163062444114
oct2043435236000
9447057686414
10142211365888
1155347677059
122368a370194
1310544a72b17
146c511c7744
153a74e3600d
hex211c753c00

142211365888 has 88 divisors (see below), whose sum is σ = 304819588800. Its totient is φ = 66075230208.

The previous prime is 142211365883. The next prime is 142211365913. The reversal of 142211365888 is 888563112241.

It is a super-2 number, since 2×1422113658882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142211365883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1323528 + ... + 1426936.

Almost surely, 2142211365888 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 142211365888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409794400).

142211365888 is an abundant number, since it is smaller than the sum of its proper divisors (162608222912).

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

142211365888 is a wasteful number, since it uses less digits than its factorization.

142211365888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103525 (or 103507 counting only the distinct ones).

The product of its digits is 737280, while the sum is 49.

The spelling of 142211365888 in words is "one hundred forty-two billion, two hundred eleven million, three hundred sixty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 79 128 136 158 256 272 316 512 544 632 1024 1088 1264 1343 2176 2528 2686 4352 5056 5372 8704 10112 10744 17408 20224 21488 40448 42976 80896 85952 103409 171904 206818 343808 413636 687616 827272 1375232 1654544 1757953 3309088 3515906 6618176 7031812 8169311 13236352 14063624 16338622 26472704 28127248 32677244 52945408 56254496 65354488 105890816 112508992 130708976 138878287 225017984 261417952 277756574 450035968 522835904 555513148 900071936 1045671808 1111026296 1800143872 2091343616 2222052592 4182687232 4444105184 8365374464 8888210368 17776420736 35552841472 71105682944 142211365888