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40084041040380 = 223252337672570251
BaseRepresentation
bin10010001110100110010110…
…00001110000000111111100
312020220222220201222012120200
421013103023001300013330
520223214104001243010
6221130204303243500
711304655622102121
oct1107231301600774
9166828821865520
1040084041040380
11118546011a6647
1245b46802a9590
131949ba799021c
149c8113c0c748
15497a27d6acc0
hex2474cb0701fc

40084041040380 has 144 divisors (see below), whose sum is σ = 126908433759744. Its totient is φ = 10221616944000.

The previous prime is 40084041040297. The next prime is 40084041040391. The reversal of 40084041040380 is 8304014048004.

It is a super-2 number, since 2×400840410403802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14310255 + ... + 16880505.

It is an arithmetic number, because the mean of its divisors is an integer number (881308567776).

Almost surely, 240084041040380 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 40084041040380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63454216879872).

40084041040380 is an abundant number, since it is smaller than the sum of its proper divisors (86824392719364).

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

40084041040380 is a wasteful number, since it uses less digits than its factorization.

40084041040380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574056 (or 2574051 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 40084041040380 its reverse (8304014048004), we get a palindrome (48388055088384).

The spelling of 40084041040380 in words is "forty trillion, eighty-four billion, forty-one million, forty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 3767 4140 7534 11301 15068 18835 22602 33903 37670 45204 56505 67806 75340 86641 113010 135612 169515 173282 226020 259923 339030 346564 433205 519846 678060 779769 866410 1039692 1299615 1559538 1732820 2570251 2599230 3119076 3898845 5140502 5198460 7710753 7797690 10281004 12851255 15421506 15595380 23132259 25702510 30843012 38553765 46264518 51405020 59115773 77107530 92529036 115661295 118231546 154215060 177347319 231322590 236463092 295578865 354694638 462645180 532041957 591157730 709389276 886736595 1064083914 1182315460 1773473190 2128167828 2660209785 3546946380 5320419570 9682135517 10640839140 19364271034 29046406551 38728542068 48410677585 58092813102 87139219653 96821355170 116185626204 145232032755 174278439306 193642710340 222689116891 290464065510 348556878612 435696098265 445378233782 580928131020 668067350673 871392196530 890756467564 1113445584455 1336134701346 1742784393060 2004202052019 2226891168910 2672269402692 3340336753365 4008404104038 4453782337820 6680673506730 8016808208076 10021010260095 13361347013460 20042020520190 40084041040380