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33420213221142 = 23112779911844641
BaseRepresentation
bin1111001100101001111111…
…11011111111011100010110
311101022221102010021102121010
413212110333323333130112
513340024044041034032
6155025011202233050
710016350016162226
oct746247773773426
9141287363242533
1033420213221142
11a715484111370
1238b9089955786
1315856881bb167
14837792b92086
153ce50a74dccc
hex1e653feff716

33420213221142 has 64 divisors (see below), whose sum is σ = 73253950875648. Its totient is φ = 10080588672000.

The previous prime is 33420213221123. The next prime is 33420213221177. The reversal of 33420213221142 is 24112231202433.

It is a happy number.

It is a super-2 number, since 2×334202132211422 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17195142 + ... + 19039782.

It is an arithmetic number, because the mean of its divisors is an integer number (1144592982432).

Almost surely, 233420213221142 is an apocalyptic number.

33420213221142 is an abundant number, since it is smaller than the sum of its proper divisors (39833737654506).

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

33420213221142 is a wasteful number, since it uses less digits than its factorization.

33420213221142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845925.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 33420213221142 its reverse (24112231202433), we get a palindrome (57532444423575).

The spelling of 33420213221142 in words is "thirty-three trillion, four hundred twenty billion, two hundred thirteen million, two hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 277 554 831 991 1662 1982 2973 3047 5946 6094 9141 10901 18282 21802 32703 65406 274507 549014 823521 1647042 1844641 3019577 3689282 5533923 6039154 9058731 11067846 18117462 20291051 40582102 60873153 121746306 510965557 1021931114 1532896671 1828039231 3065793342 3656078462 5484117693 5620621127 10968235386 11241242254 16861863381 20108431541 33723726762 40216863082 60325294623 120650589246 506366866987 1012733733974 1519100600961 3038201201922 5570035536857 11140071073714 16710106610571 33420213221142