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42404411321010 = 23351734367268817
BaseRepresentation
bin10011010010001000010111…
…10111111010101010110010
312120010211012100000120002000
421221010023313322222302
521024223213244233020
6230104152335234430
711634421562052024
oct1151041367725262
9176124170016060
1042404411321010
1112569678789aa2
12490a313678a16
131a8794636508b
14a68554d52014
154d8081a16090
hex26910bdfaab2

42404411321010 has 128 divisors (see below), whose sum is σ = 119734031831040. Its totient is φ = 10642326515712.

The previous prime is 42404411321009. The next prime is 42404411321039. The reversal of 42404411321010 is 1012311440424.

42404411321010 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 441 + 1 + 3 + 210 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 157610122 + ... + 157878938.

It is an arithmetic number, because the mean of its divisors is an integer number (935422123680).

Almost surely, 242404411321010 is an apocalyptic number.

42404411321010 is an abundant number, since it is smaller than the sum of its proper divisors (77329620510030).

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

42404411321010 is a wasteful number, since it uses less digits than its factorization.

42404411321010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303217 (or 303211 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 42404411321010 its reverse (1012311440424), we get a palindrome (43416722761434).

The spelling of 42404411321010 in words is "forty-two trillion, four hundred four billion, four hundred eleven million, three hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 34367 68734 103101 171835 206202 268817 309303 343670 515505 537634 584239 618606 806451 927909 1031010 1168478 1344085 1546515 1612902 1752717 1855818 2419353 2688170 2921195 3093030 3505434 4032255 4569889 4639545 4838706 5258151 5842390 7258059 8064510 8763585 9139778 9279090 10516302 12096765 13709667 14516118 15774453 17527170 22849445 24193530 26290755 27419334 31548906 36290295 41129001 45698890 52581510 68548335 72580590 78872265 82258002 123387003 137096670 157744530 205645005 246774006 411290010 616935015 1233870030 9238433839 18476867678 27715301517 46192169195 55430603034 83145904551 92384338390 138576507585 157053375263 166291809102 249437713653 277153015170 314106750526 415729522755 471160125789 498875427306 785266876315 831459045510 942320251578 1247188568265 1413480377367 1570533752630 2355800628945 2494377136530 2826960754734 4240441132101 4711601257890 7067401886835 8480882264202 14134803773670 21202205660505 42404411321010