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133140120444 = 22332971598727
BaseRepresentation
bin111101111111111000…
…1010000001101111100
3110201122202121220002000
41323333301100031330
54140132332323234
6141055210502300
712422223231312
oct1737761201574
9421582556060
10133140120444
11515121440a1
1221978434990
13c72a609176
1466305480b2
1536e3884899
hex1effc5037c

133140120444 has 96 divisors (see below), whose sum is σ = 362110694400. Its totient is φ = 42246106560.

The previous prime is 133140120433. The next prime is 133140120469. The reversal of 133140120444 is 444021041331.

133140120444 is a `hidden beast` number, since 13 + 3 + 1 + 401 + 204 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 76992 + ... + 521735.

It is an arithmetic number, because the mean of its divisors is an integer number (3771986400).

Almost surely, 2133140120444 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 133140120444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181055347200).

133140120444 is an abundant number, since it is smaller than the sum of its proper divisors (228970573956).

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

133140120444 is a wasteful number, since it uses less digits than its factorization.

133140120444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598840 (or 598832 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 133140120444 its reverse (444021041331), we get a palindrome (577161161775).

The spelling of 133140120444 in words is "one hundred thirty-three billion, one hundred forty million, one hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 71 87 108 116 142 174 213 261 284 348 426 522 639 783 852 1044 1278 1566 1917 2059 2556 3132 3834 4118 6177 7668 8236 12354 18531 24708 37062 55593 74124 111186 222372 598727 1197454 1796181 2394908 3592362 5388543 7184724 10777086 16165629 17363083 21554172 32331258 34726166 42509617 52089249 64662516 69452332 85019234 104178498 127528851 156267747 170038468 208356996 255057702 312535494 382586553 468803241 510115404 625070988 765173106 937606482 1147759659 1232778893 1530346212 1875212964 2295519318 2465557786 3698336679 4591038636 4931115572 7396673358 11095010037 14793346716 22190020074 33285030111 44380040148 66570060222 133140120444