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133102434341040 = 24355340163260539
BaseRepresentation
bin11110010000111001010011…
…010100010101000010110000
3122110021110122111120020120220
4132100321103110111002300
5114421222241142403130
61151030225244533040
740015222255406343
oct3620712324250260
9573243574506526
10133102434341040
11394574752374aa
1212b18187b51180
1359366760452b8
1424c229955445a
15105c476ad3410
hex790e535150b0

133102434341040 has 160 divisors (see below), whose sum is σ = 420414864226560. Its totient is φ = 34823283975168.

The previous prime is 133102434341011. The next prime is 133102434341059. The reversal of 133102434341040 is 40143434201331.

It is a junction number, because it is equal to n+sod(n) for n = 133102434340992 and 133102434341010.

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, 510743091 + ... + 511003629.

It is an arithmetic number, because the mean of its divisors is an integer number (2627592901416).

Almost surely, 2133102434341040 is an apocalyptic number.

133102434341040 is a gapful number since it is divisible by the number (10) 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 133102434341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210207432113280).

133102434341040 is an abundant number, since it is smaller than the sum of its proper divisors (287312429885520).

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

133102434341040 is a wasteful number, since it uses less digits than its factorization.

133102434341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300771 (or 300765 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 133102434341040 its reverse (40143434201331), we get a palindrome (173245868542371).

The spelling of 133102434341040 in words is "one hundred thirty-three trillion, one hundred two billion, four hundred thirty-four million, three hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 40163 80326 120489 160652 200815 240978 260539 321304 401630 481956 521078 602445 642608 781617 803260 963912 1042156 1204890 1302695 1563234 1606520 1927824 2084312 2128639 2409780 2605390 3126468 3213040 3908085 4168624 4257278 4819560 5210780 6252936 6385917 7816170 8514556 9639120 10421560 10643195 12505872 12771834 13808567 15632340 17029112 20843120 21286390 25543668 27617134 31264680 31929585 34058224 41425701 42572780 51087336 55234268 62529360 63859170 69042835 82851402 85145560 102174672 110468536 127718340 138085670 165702804 170291120 207128505 220937072 255436680 276171340 331405608 414257010 510873360 552342680 662811216 828514020 1104685360 1657028040 3314056080 10464027857 20928055714 31392083571 41856111428 52320139285 62784167142 83712222856 104640278570 125568334284 156960417855 167424445712 209280557140 251136668568 313920835710 418561114280 502273337136 554593476421 627841671420 837122228560 1109186952842 1255683342840 1663780429263 2218373905684 2511366685680 2772967382105 3327560858526 4436747811368 5545934764210 6655121717052 8318902146315 8873495622736 11091869528420 13310243434104 16637804292630 22183739056840 26620486868208 33275608585260 44367478113680 66551217170520 133102434341040