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42454299245424 = 24311731378039783
BaseRepresentation
bin10011010011100101010010…
…11011001111101101110000
312120022120222002221200220020
421221302221123033231300
521031032401101323144
6230143122534443440
711641136053316553
oct1151625133175560
9176276862850806
1042454299245424
1112588849162aa0
124917b16b03580
131a8c566b23a91
14a6ab2882a69a
154d950161d419
hex269ca96cfb70

42454299245424 has 160 divisors (see below), whose sum is σ = 122168184021504. Its totient is φ = 12596087255040.

The previous prime is 42454299245419. The next prime is 42454299245441.

42454299245424 is nontrivially palindromic in base 10.

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, 1260637 + ... + 9300419.

Almost surely, 242454299245424 is an apocalyptic number.

42454299245424 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 42454299245424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61084092010752).

42454299245424 is an abundant number, since it is smaller than the sum of its proper divisors (79713884776080).

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

42454299245424 is a wasteful number, since it uses less digits than its factorization.

42454299245424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8040015 (or 8040009 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 60.

The spelling of 42454299245424 in words is "forty-two trillion, four hundred fifty-four billion, two hundred ninety-nine million, two hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 132 137 146 176 219 264 274 292 411 438 528 548 584 803 822 876 1096 1168 1507 1606 1644 1752 2192 2409 3014 3212 3288 3504 4521 4818 6028 6424 6576 9042 9636 10001 12056 12848 18084 19272 20002 24112 30003 36168 38544 40004 60006 72336 80008 110011 120012 160016 220022 240024 330033 440044 480048 660066 880088 1320132 1760176 2640264 5280528 8039783 16079566 24119349 32159132 48238698 64318264 88437613 96477396 128636528 176875226 192954792 265312839 353750452 385909584 530625678 586904159 707500904 1061251356 1101450271 1173808318 1415001808 1760712477 2122502712 2202900542 2347616636 3304350813 3521424954 4245005424 4405801084 4695233272 6455945749 6608701626 7042849908 8811602168 9390466544 12115952981 12911891498 13217403252 14085699816 17623204336 19367837247 24231905962 25823782996 26434806504 28171399632 36347858943 38735674494 48463811924 51647565992 52869613008 72695717886 77471348988 80405869783 96927623848 103295131984 145391435772 154942697976 160811739566 193855247696 241217609349 290782871544 309885395952 321623479132 482435218698 581565743088 643246958264 884464567613 964870437396 1286493916528 1768929135226 1929740874792 2653393702839 3537858270452 3859481749584 5306787405678 7075716540904 10613574811356 14151433081808 21227149622712 42454299245424