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33540142240 = 2551119056899
BaseRepresentation
bin11111001111001001…
…011111010010100000
310012120110200202120101
4133033021133102200
51022142234022430
623224053352144
72265104335153
oct371711372240
9105513622511
1033540142240
1113251599320
126600638654
133216947c17
1418a2695c9a
15d14814dca
hex7cf25f4a0

33540142240 has 48 divisors (see below), whose sum is σ = 86442098400. Its totient is φ = 12196414720.

The previous prime is 33540142171. The next prime is 33540142253. The reversal of 33540142240 is 4224104533.

It is a happy number.

It is a super-2 number, since 2×335401422402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33540142199 and 33540142208.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9526690 + ... + 9530209.

It is an arithmetic number, because the mean of its divisors is an integer number (1800877050).

Almost surely, 233540142240 is an apocalyptic number.

It is an amenable number.

33540142240 is an abundant number, since it is smaller than the sum of its proper divisors (52901956160).

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

33540142240 is a wasteful number, since it uses less digits than its factorization.

33540142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19056925 (or 19056917 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 33540142240 its reverse (4224104533), we get a palindrome (37764246773).

The spelling of 33540142240 in words is "thirty-three billion, five hundred forty million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 19056899 38113798 76227596 95284495 152455192 190568990 209625889 304910384 381137980 419251778 609820768 762275960 838503556 1048129445 1524551920 1677007112 2096258890 3049103840 3354014224 4192517780 6708028448 8385035560 16770071120 33540142240