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42411323212984 = 231153109631113219
BaseRepresentation
bin10011010010010101001111…
…10110101100010010111000
312120011111001000222001101001
421221022213312230102320
521024331342220303414
6230111254245134344
711635055061135415
oct1151124766542270
9176144030861331
1042411323212984
11125715a5324810
12490b7223ba3b4
131a884a832c29b
14a68a0ccd510c
154d8338729074
hex2692a7dac4b8

42411323212984 has 128 divisors (see below), whose sum is σ = 89219009088000. Its totient is φ = 18736229491200.

The previous prime is 42411323212969. The next prime is 42411323212997. The reversal of 42411323212984 is 48921232311424.

It is a happy number.

42411323212984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3208354327 + ... + 3208367545.

It is an arithmetic number, because the mean of its divisors is an integer number (697023508500).

Almost surely, 242411323212984 is an apocalyptic number.

42411323212984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42411323212984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44609504544000).

42411323212984 is an abundant number, since it is smaller than the sum of its proper divisors (46807685875016).

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

42411323212984 is a wasteful number, since it uses less digits than its factorization.

42411323212984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19709 (or 19705 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The spelling of 42411323212984 in words is "forty-two trillion, four hundred eleven billion, three hundred twenty-three million, two hundred twelve thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 109 212 218 424 436 583 872 1166 1199 2332 2398 4664 4796 5777 6311 9592 11554 12622 13219 23108 25244 26438 46216 50488 52876 63547 69421 105752 127094 138842 145409 254188 277684 290818 334483 508376 555368 581636 668966 687899 700607 1163272 1337932 1375798 1401214 1440871 2675864 2751596 2802428 2881742 3679313 5503192 5604856 5763484 7358626 7566889 7706677 11526968 14717252 15133778 15413354 15849581 29434504 30267556 30826708 31699162 36458647 60535112 61653416 63398324 72917294 76366163 83425109 126796648 145834588 152732326 166850218 291669176 305464652 333700436 401045117 610929304 667400872 802090234 840027793 917676199 1604180468 1680055586 1835352398 3208360936 3360111172 3670704796 4421530777 6720222344 7341409592 8843061554 9093336881 17686123108 18186673762 35372246216 36373347524 48636838547 72746695048 97273677094 100026705691 194547354188 200053411382 389094708376 400106822764 481946854693 800213645528 963893709386 1927787418772 3855574837544 5301415401623 10602830803246 21205661606492 42411323212984