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142667407632 = 243191151135911
BaseRepresentation
bin1000010011011110100…
…0111110000100010000
3111122020201220020010110
42010313220332010100
54314140324021012
6145312425401320
713210300645641
oct2046750760420
9448221806113
10142667407632
1155561039a62
1223797039240
13105b83a67c9
146c959b96c8
153a9eeb973c
hex2137a3e110

142667407632 has 80 divisors (see below), whose sum is σ = 388295147520. Its totient is φ = 45013392000.

The previous prime is 142667407601. The next prime is 142667407639. The reversal of 142667407632 is 236704766241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (142667407639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981757 + ... + 1117667.

It is an arithmetic number, because the mean of its divisors is an integer number (4853689344).

Almost surely, 2142667407632 is an apocalyptic number.

142667407632 is a gapful number since it is divisible by the number (12) 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 142667407632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194147573760).

142667407632 is an abundant number, since it is smaller than the sum of its proper divisors (245627739888).

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

142667407632 is a wasteful number, since it uses less digits than its factorization.

142667407632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137092 (or 137086 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 142667407632 in words is "one hundred forty-two billion, six hundred sixty-seven million, four hundred seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1151 2302 3453 4604 6906 9208 13812 18416 21869 27624 43738 55248 65607 87476 131214 135911 174952 262428 271822 349904 407733 524856 543644 815466 1049712 1087288 1630932 2174576 2582309 3261864 5164618 6523728 7746927 10329236 15493854 20658472 30987708 41316944 61975416 123950832 156433561 312867122 469300683 625734244 938601366 1251468488 1877202732 2502936976 2972237659 3754405464 5944475318 7508810928 8916712977 11888950636 17833425954 23777901272 35666851908 47555802544 71333703816 142667407632