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33540423140257 = 11103337109380369
BaseRepresentation
bin1111010000001001111010…
…00000011100001110100001
311101202102200202110000222121
413220010331000130032201
513344011241310442012
6155200131354104241
710031133644503555
oct750047500341641
9141672622400877
1033540423140257
11a761460513860
123918437a1b081
131593b04a23607
1483d517d3d865
153d26e3d6ca07
hex1e813d01c3a1

33540423140257 has 32 divisors (see below), whose sum is σ = 37088782398720. Its totient is φ = 30077743288320.

The previous prime is 33540423140219. The next prime is 33540423140291. The reversal of 33540423140257 is 75204132404533.

It is a cyclic number.

It is not a de Polignac number, because 33540423140257 - 243 = 24744330118049 is a prime.

It is a super-2 number, since 2×335404231402572 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33540423141257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417290169 + ... + 417370537.

It is an arithmetic number, because the mean of its divisors is an integer number (1159024449960).

Almost surely, 233540423140257 is an apocalyptic number.

It is an amenable number.

33540423140257 is a deficient number, since it is larger than the sum of its proper divisors (3548359258463).

33540423140257 is a wasteful number, since it uses less digits than its factorization.

33540423140257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81913.

The product of its (nonzero) digits is 1209600, while the sum is 43.

The spelling of 33540423140257 in words is "thirty-three trillion, five hundred forty billion, four hundred twenty-three million, one hundred forty thousand, two hundred fifty-seven".

Divisors: 1 11 103 337 1093 1133 3707 12023 34711 80369 112579 368341 381821 884059 1238369 4051751 8278007 27084353 37939123 87843317 91058077 297927883 417330353 966276487 2789688359 9047861651 29603197829 30686571949 99526478161 325635176119 3049129376387 33540423140257