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142812812288 = 210179478663
BaseRepresentation
bin1000010100000001001…
…1101001010000000000
3111122121212111112211002
42011000103221100000
54314440034443123
6145335102111132
713214014606136
oct2050023512000
9448555445732
10142812812288
11556261226a3
122381787b4a8
131060c556b73
146cab029756
153aacb3c528
hex21404e9400

142812812288 has 88 divisors (see below), whose sum is σ = 302633589312. Its totient is φ = 67127312384.

The previous prime is 142812812251. The next prime is 142812812321. The reversal of 142812812288 is 882218218241.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16481045 + ... + 16489707.

Almost surely, 2142812812288 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 142812812288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151316794656).

142812812288 is an abundant number, since it is smaller than the sum of its proper divisors (159820777024).

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

142812812288 is an equidigital number, since it uses as much as digits as its factorization.

142812812288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9647 (or 9629 counting only the distinct ones).

The product of its digits is 262144, while the sum is 47.

The spelling of 142812812288 in words is "one hundred forty-two billion, eight hundred twelve million, eight hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 947 1024 1088 1894 2176 3788 4352 7576 8663 8704 15152 16099 17326 17408 30304 32198 34652 60608 64396 69304 121216 128792 138608 147271 242432 257584 277216 294542 484864 515168 554432 589084 969728 1030336 1108864 1178168 2060672 2217728 2356336 4121344 4435456 4712672 8203861 8242688 8870912 9425344 16407722 16485376 18850688 32815444 37701376 65630888 75402752 131261776 139465637 150805504 262523552 278931274 525047104 557862548 1050094208 1115725096 2100188416 2231450192 4200376832 4462900384 8400753664 8925800768 17851601536 35703203072 71406406144 142812812288