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12534005033040 = 2435138773763423
BaseRepresentation
bin1011011001100100110011…
…1010101110100001010000
31122101020110100202110220010
42312121030322232201100
53120324120242024130
642354013055114520
72432360220626031
oct266311472564120
948336410673803
1012534005033040
113aa2707097997
1214a5210b12a40
136cbc4a896c8a
14314913110a88
1516b0890990b0
hexb664ceae850

12534005033040 has 80 divisors (see below), whose sum is σ = 38858225914368. Its totient is φ = 3342159595008.

The previous prime is 12534005033021. The next prime is 12534005033047. The reversal of 12534005033040 is 4033050043521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12534005032989 and 12534005033007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12534005033047) 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, 1448769 + ... + 5212191.

Almost surely, 212534005033040 is an apocalyptic number.

12534005033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12534005033040 is an abundant number, since it is smaller than the sum of its proper divisors (26324220881328).

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

12534005033040 is a wasteful number, since it uses less digits than its factorization.

12534005033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777316 (or 3777310 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 12534005033040 its reverse (4033050043521), we get a palindrome (16567055076561).

The spelling of 12534005033040 in words is "twelve trillion, five hundred thirty-four billion, five million, thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 13877 27754 41631 55508 69385 83262 111016 138770 166524 208155 222032 277540 333048 416310 555080 666096 832620 1110160 1665240 3330480 3763423 7526846 11290269 15053692 18817115 22580538 30107384 37634230 45161076 56451345 60214768 75268460 90322152 112902690 150536920 180644304 225805380 301073840 451610760 903221520 52225020971 104450041942 156675062913 208900083884 261125104855 313350125826 417800167768 522250209710 626700251652 783375314565 835600335536 1044500419420 1253400503304 1566750629130 2089000838840 2506801006608 3133501258260 4178001677680 6267002516520 12534005033040