Search a number
-
+
20034611176440 = 2335728518365741
BaseRepresentation
bin1001000111000101010111…
…11000011110001111111000
32121221021211111111102221110
410203202223320132033320
510111221340430121230
6110335435011440320
74135311225122550
oct443425370361770
977837744442843
1020034611176440
1164246a3787193
1222b6a128b60a0
13b24342aaa2b3
144d3974c72160
1524b22d70e4b0
hex1238abe1e3f8

20034611176440 has 128 divisors (see below), whose sum is σ = 68714197009920. Its totient is φ = 4577732928000.

The previous prime is 20034611176439. The next prime is 20034611176477. The reversal of 20034611176440 is 4467111643002.

It is a super-4 number, since 4×200346111764404 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 1788031 + ... + 6577710.

It is an arithmetic number, because the mean of its divisors is an integer number (536829664140).

Almost surely, 220034611176440 is an apocalyptic number.

20034611176440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20034611176440 is an abundant number, since it is smaller than the sum of its proper divisors (48679585833480).

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

20034611176440 is a wasteful number, since it uses less digits than its factorization.

20034611176440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368613 (or 8368609 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 20034611176440 in words is "twenty trillion, thirty-four billion, six hundred eleven million, one hundred seventy-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2851 5702 8553 11404 14255 17106 19957 22808 28510 34212 39914 42765 57020 59871 68424 79828 85530 99785 114040 119742 159656 171060 199570 239484 299355 342120 399140 478968 598710 798280 1197420 2394840 8365741 16731482 25097223 33462964 41828705 50194446 58560187 66925928 83657410 100388892 117120374 125486115 167314820 175680561 200777784 234240748 250972230 292800935 334629640 351361122 468481496 501944460 585601870 702722244 878402805 1003888920 1171203740 1405444488 1756805610 2342407480 3513611220 7027222440 23850727591 47701455182 71552182773 95402910364 119253637955 143104365546 166955093137 190805820728 238507275910 286208731092 333910186274 357760913865 477014551820 500865279411 572417462184 667820372548 715521827730 834775465685 954029103640 1001730558822 1335640745096 1431043655460 1669550931370 2003461117644 2504326397055 2862087310920 3339101862740 4006922235288 5008652794110 6678203725480 10017305588220 20034611176440