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42311300454540 = 22335136027250777
BaseRepresentation
bin10011001111011010111100…
…00010001001100010001100
312112210220212021111110102000
421213231132002021202030
521021212020404021130
6225553313150232300
711624614316541645
oct1147553602114214
9175726767443360
1042311300454540
1112533138064987
1248b4268ab5690
131a7bc27bb1a10
14a63c40c2c6cc
154d59324e6260
hex267b5e08988c

42311300454540 has 96 divisors (see below), whose sum is σ = 141760938298560. Its totient is φ = 10415089340928.

The previous prime is 42311300454523. The next prime is 42311300454551. The reversal of 42311300454540 is 4545400311324.

42311300454540 is a `hidden beast` number, since 4 + 2 + 31 + 1 + 30 + 0 + 4 + 54 + 540 = 666.

It is a super-2 number, since 2×423113004545402 (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 junction number, because it is equal to n+sod(n) for n = 42311300454495 and 42311300454504.

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, 3013618369 + ... + 3013632408.

It is an arithmetic number, because the mean of its divisors is an integer number (1476676440610).

Almost surely, 242311300454540 is an apocalyptic number.

It is an amenable number.

42311300454540 is an abundant number, since it is smaller than the sum of its proper divisors (99449637844020).

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

42311300454540 is a wasteful number, since it uses less digits than its factorization.

42311300454540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6027250808 (or 6027250800 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 42311300454540 its reverse (4545400311324), we get a palindrome (46856700765864).

The spelling of 42311300454540 in words is "forty-two trillion, three hundred eleven billion, three hundred million, four hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 6027250777 12054501554 18081752331 24109003108 30136253885 36163504662 54245256993 60272507770 72327009324 78354260101 90408761655 108490513986 120545015540 156708520202 162735770979 180817523310 216981027972 235062780303 271226284965 313417040404 325471541958 361635046620 391771300505 470125560606 542452569930 650943083916 705188340909 783542601010 813678854895 940251121212 1084905139860 1175313901515 1410376681818 1567085202020 1627357709790 2115565022727 2350627803030 2820753363636 3254715419580 3525941704545 4231130045454 4701255606060 7051883409090 8462260090908 10577825113635 14103766818180 21155650227270 42311300454540