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33140725944 = 23323421142607
BaseRepresentation
bin11110110111010101…
…110101100010111000
310011112122010022102020
4132313111311202320
51020333011212234
623120304434440
72252154344154
oct366725654270
9104478108366
1033140725944
1113067091a07
12650a918a20
133181c7c211
141865604064
15cde719549
hex7b75758b8

33140725944 has 64 divisors (see below), whose sum is σ = 86660029440. Its totient is φ = 10541435520.

The previous prime is 33140725853. The next prime is 33140725957. The reversal of 33140725944 is 44952704133.

It is a happy number.

It is a super-2 number, since 2×331407259442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33140725896 and 33140725905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161089 + ... + 303695.

It is an arithmetic number, because the mean of its divisors is an integer number (1354062960).

Almost surely, 233140725944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33140725944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43330014720).

33140725944 is an abundant number, since it is smaller than the sum of its proper divisors (53519303496).

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

33140725944 is a wasteful number, since it uses less digits than its factorization.

33140725944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143060 (or 143056 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 33140725944 in words is "thirty-three billion, one hundred forty million, seven hundred twenty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 421 552 842 1263 1684 2526 3368 5052 9683 10104 19366 29049 38732 58098 77464 116196 142607 232392 285214 427821 570428 855642 1140856 1711284 3279961 3422568 6559922 9839883 13119844 19679766 26239688 39359532 60037547 78719064 120075094 180112641 240150188 360225282 480300376 720450564 1380863581 1440901128 2761727162 4142590743 5523454324 8285181486 11046908648 16570362972 33140725944