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534005040324132 = 2232133778130201329
BaseRepresentation
bin111100101101011001011110…
…0101111001001111000100100
32121000202101100102020002201100
41321122302330233021320210
51024443114310310333012
65131422310122400100
7220323406465532616
oct17132627457117044
92530671312202640
10534005040324132
111451722a1864623
124ba85907660030
1319bc75c7c08480
1495c1da6302db6
1541b0a6ae018dc
hex1e5acbcbc9e24

534005040324132 has 72 divisors (see below), whose sum is σ = 1453718912176440. Its totient is φ = 164304888744960.

The previous prime is 534005040324131. The next prime is 534005040324137. The reversal of 534005040324132 is 231423040500435.

534005040324132 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 0 + 5 + 0 + 403 + 241 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140213401698276 + 393791638625856 = 11841174^2 + 19844184^2 .

It is a super-2 number, since 2×5340050403241322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (534005040324131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580844 + ... + 32782172.

It is an arithmetic number, because the mean of its divisors is an integer number (20190540446895).

Almost surely, 2534005040324132 is an apocalyptic number.

534005040324132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

534005040324132 is an abundant number, since it is smaller than the sum of its proper divisors (919713871852308).

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

534005040324132 is a wasteful number, since it uses less digits than its factorization.

534005040324132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30239133 (or 30239128 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 534005040324132 its reverse (231423040500435), we get a palindrome (765428080824567).

The spelling of 534005040324132 in words is "five hundred thirty-four trillion, five billion, forty million, three hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 37781 75562 113343 151124 226686 340029 453372 491153 680058 982306 1360116 1473459 1964612 2946918 4420377 5893836 8840754 17681508 30201329 60402658 90603987 120805316 181207974 271811961 362415948 392617277 543623922 785234554 1087247844 1177851831 1570469108 2355703662 3533555493 4711407324 7067110986 14134221972 1141036410949 2282072821898 3423109232847 4564145643796 6846218465694 10269327698541 13692436931388 14833473342337 20538655397082 29666946684674 41077310794164 44500420027011 59333893369348 89000840054022 133501260081033 178001680108044 267002520162066 534005040324132