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33020041340 = 225111323732381
BaseRepresentation
bin11110110000001001…
…011101100001111100
310011020020000220021002
4132300021131201330
51020111112310330
623100314025432
72246160502046
oct366011354174
9104206026232
1033020041340
1113004a52870
126496418278
133162c75800
14185358aa96
15cd3d2ae45
hex7b025d87c

33020041340 has 144 divisors (see below), whose sum is σ = 82166537376. Its totient is φ = 11049292800.

The previous prime is 33020041289. The next prime is 33020041367. The reversal of 33020041340 is 4314002033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13866950 + ... + 13869330.

It is an arithmetic number, because the mean of its divisors is an integer number (570600954).

Almost surely, 233020041340 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 33020041340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41083268688).

33020041340 is an abundant number, since it is smaller than the sum of its proper divisors (49146496036).

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

33020041340 is a wasteful number, since it uses less digits than its factorization.

33020041340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 33020041340 its reverse (4314002033), we get a palindrome (37334043373).

The spelling of 33020041340 in words is "thirty-three billion, twenty million, forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 169 220 260 286 338 373 572 676 715 746 845 1430 1492 1690 1859 1865 2381 2860 3380 3718 3730 4103 4762 4849 7436 7460 8206 9295 9524 9698 11905 16412 18590 19396 20515 23810 24245 26191 30953 37180 41030 47620 48490 52382 53339 61906 63037 82060 96980 104764 106678 123812 126074 130955 154765 213356 252148 261910 266695 309530 315185 340483 402389 523820 533390 619060 630370 680966 693407 804778 888113 1066780 1260740 1361932 1386814 1609556 1702415 1776226 2011945 2773628 3404830 3467035 3552452 4023890 4426279 4440565 6809660 6934070 8047780 8852558 8881130 9769243 11545469 13868140 17705116 17762260 19538486 22131395 23090938 39076972 44262790 46181876 48846215 57727345 88525580 97692430 115454690 127000159 150091097 195384860 230909380 254000318 300182194 508000636 600364388 635000795 750455485 1270001590 1500910970 1651002067 2540003180 3001821940 3302004134 6604008268 8255010335 16510020670 33020041340