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142450236544 = 2771114997001
BaseRepresentation
bin1000010010101010110…
…0100001110010000000
3111121200121020210101211
42010222230201302000
54313214230032134
6145235110535504
713202023014040
oct2045254416200
9447617223354
10142450236544
115545a499120
1223736367594
13105823b98c5
146c74c07720
153a8adbc764
hex212ab21c80

142450236544 has 128 divisors (see below), whose sum is σ = 356191344000. Its totient is φ = 55127040000.

The previous prime is 142450236517. The next prime is 142450236553. The reversal of 142450236544 is 445632054241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 142450236497 and 142450236506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1420044 + ... + 1517044.

It is an arithmetic number, because the mean of its divisors is an integer number (2782744875).

Almost surely, 2142450236544 is an apocalyptic number.

142450236544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142450236544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178095672000).

142450236544 is an abundant number, since it is smaller than the sum of its proper divisors (213741107456).

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

142450236544 is a wasteful number, since it uses less digits than its factorization.

142450236544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97182 (or 97170 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 142450236544 in words is "one hundred forty-two billion, four hundred fifty million, two hundred thirty-six thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 149 154 176 224 298 308 352 448 596 616 704 896 1043 1192 1232 1408 1639 2086 2384 2464 3278 4172 4768 4928 6556 8344 9536 9856 11473 13112 16688 19072 22946 26224 33376 45892 52448 66752 91784 97001 104896 133504 183568 194002 209792 367136 388004 679007 734272 776008 1067011 1358014 1468544 1552016 2134022 2716028 3104032 4268044 5432056 6208064 7469077 8536088 10864112 12416128 14453149 14938154 17072176 21728224 28906298 29876308 34144352 43456448 57812596 59752616 68288704 86912896 101172043 115625192 119505232 136577408 158984639 202344086 231250384 239010464 317969278 404688172 462500768 478020928 635938556 809376344 925001536 956041856 1112892473 1271877112 1618752688 1850003072 2225784946 2543754224 3237505376 4451569892 5087508448 6475010752 8903139784 10175016896 12950021504 17806279568 20350033792 35612559136 71225118272 142450236544