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142646633304 = 233710124134883
BaseRepresentation
bin1000010011011001100…
…1101110001101011000
3111122012021210210002220
42010312121232031120
54314120014231204
6145310404224040
713206626243250
oct2046631561530
9448167723086
10142646633304
115555033a99a
122379009b020
13105b3cb1ac6
146c92d2c960
153a9d2641d9
hex213666e358

142646633304 has 128 divisors (see below), whose sum is σ = 413316794880. Its totient is φ = 40184064000.

The previous prime is 142646633251. The next prime is 142646633321. The reversal of 142646633304 is 403336646241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4071847 + ... + 4106729.

It is an arithmetic number, because the mean of its divisors is an integer number (3229037460).

Almost surely, 2142646633304 is an apocalyptic number.

142646633304 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 142646633304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206658397440).

142646633304 is an abundant number, since it is smaller than the sum of its proper divisors (270670161576).

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

142646633304 is a wasteful number, since it uses less digits than its factorization.

142646633304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35241 (or 35237 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 142646633304 in words is "one hundred forty-two billion, six hundred forty-six million, six hundred thirty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 241 303 404 482 606 707 723 808 964 1212 1414 1446 1687 1928 2121 2424 2828 2892 3374 4242 5061 5656 5784 6748 8484 10122 13496 16968 20244 24341 34883 40488 48682 69766 73023 97364 104649 139532 146046 170387 194728 209298 244181 279064 292092 340774 418596 488362 511161 584184 681548 732543 837192 976724 1022322 1363096 1465086 1953448 2044644 2930172 3523183 4089288 5860344 7046366 8406803 10569549 14092732 16813606 21139098 24662281 25220409 28185464 33627212 42278196 49324562 50440818 58847621 67254424 73986843 84556392 98649124 100881636 117695242 147973686 176542863 197298248 201763272 235390484 295947372 353085726 470780968 591894744 706171452 849087103 1412342904 1698174206 2547261309 3396348412 5094522618 5943609721 6792696824 10189045236 11887219442 17830829163 20378090472 23774438884 35661658326 47548877768 71323316652 142646633304