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142363361435264 = 274749148195769
BaseRepresentation
bin100000010111101010001101…
…100101100101111010000000
3200200001210201102201211100222
4200113222031211211322000
5122124440131011412024
61222440454140402212
741662261545032144
oct4027521545457200
9620053642654328
10142363361435264
11413a7a65141462
1213b72b81846368
136158a65a731a8
1427225cdd81224
15116d2e756685e
hex817a8d965e80

142363361435264 has 64 divisors (see below), whose sum is σ = 290238782601600. Its totient is φ = 69525287086080.

The previous prime is 142363361435261. The next prime is 142363361435341. The reversal of 142363361435264 is 462534163363241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1423633614352642 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142363361435261) 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, 21144029 + ... + 27051740.

It is an arithmetic number, because the mean of its divisors is an integer number (4534980978150).

Almost surely, 2142363361435264 is an apocalyptic number.

It is an amenable number.

142363361435264 is an abundant number, since it is smaller than the sum of its proper divisors (147875421166336).

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

142363361435264 is an equidigital number, since it uses as much as digits as its factorization.

142363361435264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48196321 (or 48196309 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 53.

The spelling of 142363361435264 in words is "one hundred forty-two trillion, three hundred sixty-three billion, three hundred sixty-one million, four hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 491 752 982 1504 1964 3008 3928 6016 7856 15712 23077 31424 46154 62848 92308 184616 369232 738464 1476928 2953856 48195769 96391538 192783076 385566152 771132304 1542264608 2265201143 3084529216 4530402286 6169058432 9060804572 18121609144 23664122579 36243218288 47328245158 72486436576 94656490316 144972873152 189312980632 289945746304 378625961264 757251922528 1112213761213 1514503845056 2224427522426 3029007690112 4448855044852 8897710089704 17795420179408 35590840358816 71181680717632 142363361435264