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33104440120 = 2357133734589
BaseRepresentation
bin11110110101001011…
…011010101100111000
310011110002211210121211
4132311023122230320
51020244214040440
623112531012504
72251234045453
oct366513325470
9104402753554
1033104440120
1113048658924
1264ba73a134
1331775b610b
14186087a49a
15cdb44ceea
hex7b52dab38

33104440120 has 64 divisors (see below), whose sum is σ = 75760401600. Its totient is φ = 13016156160.

The previous prime is 33104440067. The next prime is 33104440123. The reversal of 33104440120 is 2104440133.

It is a super-2 number, since 2×331044401202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33104440091 and 33104440100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33104440123) 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, 939786 + ... + 974374.

It is an arithmetic number, because the mean of its divisors is an integer number (1183756275).

Almost surely, 233104440120 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 33104440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37880200800).

33104440120 is an abundant number, since it is smaller than the sum of its proper divisors (42655961480).

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

33104440120 is a wasteful number, since it uses less digits than its factorization.

33104440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35008 (or 35004 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 33104440120 its reverse (2104440133), we get a palindrome (35208880253).

The spelling of 33104440120 in words is "thirty-three billion, one hundred four million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 337 355 568 674 710 1348 1420 1685 2696 2840 3370 6740 13480 23927 34589 47854 69178 95708 119635 138356 172945 191416 239270 276712 345890 478540 691780 957080 1383560 2455819 4911638 9823276 11656493 12279095 19646552 23312986 24558190 46625972 49116380 58282465 93251944 98232760 116564930 233129860 466259720 827611003 1655222006 3310444012 4138055015 6620888024 8276110030 16552220060 33104440120