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133151043255342 = 237194124411667209
BaseRepresentation
bin11110010001100110100100…
…101000100111110000101110
3122110110010010010210221101020
4132101212210220213300232
5114423021314033132332
61151104424514355010
740021562656354560
oct3621464450476056
9573403103727336
10133151043255342
113947604974a252
1212b25692b8ba66
13593b121837b98
1424c478b213330
15105d86e29482c
hex7919a4a27c2e

133151043255342 has 128 divisors (see below), whose sum is σ = 328311794764800. Its totient is φ = 35147412172800.

The previous prime is 133151043255331. The next prime is 133151043255359. The reversal of 133151043255342 is 243552340151331.

It is a super-2 number, since 2×1331510432553422 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 133151043255294 and 133151043255303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79031034 + ... + 80698242.

It is an arithmetic number, because the mean of its divisors is an integer number (2564935896600).

Almost surely, 2133151043255342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133151043255342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164155897382400).

133151043255342 is an abundant number, since it is smaller than the sum of its proper divisors (195160751509458).

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

133151043255342 is a wasteful number, since it uses less digits than its factorization.

133151043255342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669722.

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 133151043255342 in words is "one hundred thirty-three trillion, one hundred fifty-one billion, forty-three million, two hundred fifty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 41 42 57 82 114 123 133 246 266 287 399 574 779 798 861 1558 1722 2337 2441 4674 4882 5453 7323 10906 14646 16359 17087 32718 34174 46379 51261 92758 100081 102522 139137 200162 278274 300243 324653 600486 649306 700567 973959 1401134 1667209 1901539 1947918 2101701 3334418 3803078 4203402 5001627 5704617 10003254 11409234 11670463 13310773 23340926 26621546 31676971 35011389 39932319 63353942 68355569 70022778 79864638 95030913 136711138 190061826 205066707 221738797 410133414 443477594 478488983 665216391 956977966 1298755811 1330432782 1435466949 2597511622 2870933898 3896267433 4069657169 7792534866 8139314338 9091290677 12208971507 18182581354 24417943014 27273872031 28487600183 54547744062 56975200366 77323486211 85462800549 154646972422 166855943929 170925601098 231970458633 333711887858 463940917266 500567831787 541264403477 1001135663574 1082528806954 1167991607503 1623793210431 2335983215006 3170262934651 3247586420862 3503974822509 6340525869302 7007949645018 9510788803953 19021577607906 22191840542557 44383681085114 66575521627671 133151043255342