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33140423421552 = 243171791151919697
BaseRepresentation
bin1111000100100000110110…
…01010100110111001110000
311100100012020002101221212010
413202100123022212321300
513320433041343442202
6154252300024002520
76660213405133626
oct742203312467160
9140305202357763
1033140423421552
11a617858063837
123872a04900440
131565189483325
1482800dc11516
153c70d24cc76c
hex1e241b2a6e70

33140423421552 has 160 divisors (see below), whose sum is σ = 91167764889600. Its totient is φ = 10337489403904.

The previous prime is 33140423421487. The next prime is 33140423421571. The reversal of 33140423421552 is 25512432404133.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 33140423421552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1682501368 + ... + 1682521064.

It is an arithmetic number, because the mean of its divisors is an integer number (569798530560).

Almost surely, 233140423421552 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 33140423421552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45583882444800).

33140423421552 is an abundant number, since it is smaller than the sum of its proper divisors (58027341468048).

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

33140423421552 is a wasteful number, since it uses less digits than its factorization.

33140423421552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31423 (or 31417 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 33140423421552 its reverse (25512432404133), we get a palindrome (58652855825685).

The spelling of 33140423421552 in words is "thirty-three trillion, one hundred forty billion, four hundred twenty-three million, four hundred twenty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 179 204 272 358 408 537 716 816 1074 1432 2148 2864 3043 4296 6086 8592 9129 11519 12172 18258 19697 23038 24344 34557 36516 39394 46076 48688 59091 69114 73032 78788 92152 118182 138228 146064 157576 184304 195823 236364 276456 315152 334849 391646 472728 552912 587469 669698 783292 945456 1004547 1174938 1339396 1566584 2009094 2061901 2349876 2678792 3133168 3525763 4018188 4123802 4699752 5357584 6185703 7051526 8036376 8247604 9399504 10577289 12371406 14103052 16072752 16495208 21154578 24742812 28206104 32990416 35052317 42309156 49485624 56412208 59937971 70104634 84618312 98971248 105156951 119875942 140209268 169236624 179813913 210313902 226889743 239751884 280418536 359627826 420627804 453779486 479503768 560837072 680669229 719255652 841255608 907558972 959007536 1361338458 1438511304 1682511216 1815117944 2722676916 2877022608 3630235888 3857125631 5445353832 7714251262 10890707664 11571376893 15428502524 23142753786 30857005048 40613263997 46285507572 61714010096 81226527994 92571015144 121839791991 162453055988 185142030288 243679583982 324906111976 487359167964 649812223952 690425487949 974718335928 1380850975898 1949436671856 2071276463847 2761701951796 4142552927694 5523403903592 8285105855388 11046807807184 16570211710776 33140423421552