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40556404121310 = 23357111950764989
BaseRepresentation
bin10010011100010110001100…
…00011111001111011011110
312022121011011112102222002000
421032023012003321323132
520303434003423340220
6222131204351343130
711354050334042430
oct1116130603717336
9168534145388060
1040556404121310
1111a16968906760
124670129821aa6
1319825b61a643c
14a02d24796650
154a4e72557390
hex24e2c60f9ede

40556404121310 has 128 divisors (see below), whose sum is σ = 134836876108800. Its totient is φ = 8427304748160.

The previous prime is 40556404121227. The next prime is 40556404121323. The reversal of 40556404121310 is 1312140465504.

40556404121310 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 640 + 4 + 1 + 2 + 1 + 3 + 1 + 0 = 666.

It is a super-2 number, since 2×405564041213102 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 975361705 + ... + 975403284.

It is an arithmetic number, because the mean of its divisors is an integer number (1053413094600).

Almost surely, 240556404121310 is an apocalyptic number.

40556404121310 is an abundant number, since it is smaller than the sum of its proper divisors (94280471987490).

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

40556404121310 is a wasteful number, since it uses less digits than its factorization.

40556404121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950765023 (or 1950765017 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 40556404121310 its reverse (1312140465504), we get a palindrome (41868544586814).

The spelling of 40556404121310 in words is "forty trillion, five hundred fifty-six billion, four hundred four million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 594 630 693 770 945 990 1155 1386 1485 1890 2079 2310 2970 3465 4158 6930 10395 20790 1950764989 3901529978 5852294967 9753824945 11704589934 13655354923 17556884901 19507649890 21458414879 27310709846 29261474835 35113769802 40966064769 42916829758 52670654703 58522949670 64375244637 68276774615 81932129538 87784424505 105341309406 107292074395 122898194307 128750489274 136553549230 150208904153 175568849010 193125733911 204830323845 214584148790 245796388614 263353273515 300417808306 321876223185 368694582921 386251467822 409660647690 450626712459 526706547030 579377201733 614490971535 643752446370 737389165842 751044520765 901253424918 965628669555 1158754403466 1228981943070 1351880137377 1502089041530 1843472914605 1931257339110 2253133562295 2703760274754 2896886008665 3686945829210 4055640412131 4506267124590 5793772017330 6759400686885 8111280824262 13518801373770 20278202060655 40556404121310