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20400111040440 = 23351953168819191
BaseRepresentation
bin1001010001101110001010…
…10111110011011110111000
32200020020020210222022111110
410220313011113303132320
510133213411411243230
6111215403122200320
74203600524526645
oct450670527633670
980206223868443
1020400111040440
11655570294179a
122355817ab30a0
13b4c95092cb81
14507529086dcc
152559c13b54b0
hex128dc55f37b8

20400111040440 has 128 divisors (see below), whose sum is σ = 65636901849600. Its totient is φ = 5056472378880.

The previous prime is 20400111040429. The next prime is 20400111040451. The reversal of 20400111040440 is 4404011100402.

It is an interprime number because it is at equal distance from previous prime (20400111040429) and next prime (20400111040451).

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, 84288756 + ... + 84530435.

It is an arithmetic number, because the mean of its divisors is an integer number (512788295700).

Almost surely, 220400111040440 is an apocalyptic number.

20400111040440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20400111040440 is an abundant number, since it is smaller than the sum of its proper divisors (45236790809160).

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

20400111040440 is a wasteful number, since it uses less digits than its factorization.

20400111040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168819277 (or 168819273 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 20400111040440 its reverse (4404011100402), we get a palindrome (24804122140842).

The spelling of 20400111040440 in words is "twenty trillion, four hundred billion, one hundred eleven million, forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 53 57 60 76 95 106 114 120 152 159 190 212 228 265 285 318 380 424 456 530 570 636 760 795 1007 1060 1140 1272 1590 2014 2120 2280 3021 3180 4028 5035 6042 6360 8056 10070 12084 15105 20140 24168 30210 40280 60420 120840 168819191 337638382 506457573 675276764 844095955 1012915146 1350553528 1688191910 2025830292 2532287865 3207564629 3376383820 4051660584 5064575730 6415129258 6752767640 8947417123 9622693887 10129151460 12830258516 16037823145 17894834246 19245387774 20258302920 25660517032 26842251369 32075646290 35789668492 38490775548 44737085615 48113469435 53684502738 64151292580 71579336984 76981551096 89474171230 96226938870 107369005476 128302585160 134211256845 170000925337 178948342460 192453877740 214738010952 268422513690 340001850674 357896684920 384907755480 510002776011 536845027380 680003701348 850004626685 1020005552022 1073690054760 1360007402696 1700009253370 2040011104044 2550013880055 3400018506740 4080022208088 5100027760110 6800037013480 10200055520220 20400111040440