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10234301011440 = 2435114194551931
BaseRepresentation
bin1001010011101101101111…
…1000000101010111110000
31100020101112000220212012220
42110323123320011113300
52320134322024331230
633433323432521040
72104255343155152
oct224733370052760
940211460825186
1010234301011440
113296385127860
121193586850180
1359312392446c
142754b2966ad2
1512b33e8c4d10
hex94edbe055f0

10234301011440 has 160 divisors (see below), whose sum is σ = 35454705253632. Its totient is φ = 2420529408000.

The previous prime is 10234301011411. The next prime is 10234301011447. The reversal of 10234301011440 is 4411010343201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10234301011440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234301011447) by changing a digit.

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, 47167726 + ... + 47384205.

Almost surely, 210234301011440 is an apocalyptic number.

10234301011440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10234301011440 is an abundant number, since it is smaller than the sum of its proper divisors (25220404242192).

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

10234301011440 is a wasteful number, since it uses less digits than its factorization.

10234301011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94551999 (or 94551993 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10234301011440 its reverse (4411010343201), we get a palindrome (14645311354641).

The spelling of 10234301011440 in words is "ten trillion, two hundred thirty-four billion, three hundred one million, eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 41 44 48 55 60 66 80 82 88 110 120 123 132 164 165 176 205 220 240 246 264 328 330 410 440 451 492 528 615 656 660 820 880 902 984 1230 1320 1353 1640 1804 1968 2255 2460 2640 2706 3280 3608 4510 4920 5412 6765 7216 9020 9840 10824 13530 18040 21648 27060 36080 54120 108240 94551931 189103862 283655793 378207724 472759655 567311586 756415448 945519310 1040071241 1134623172 1418278965 1512830896 1891038620 2080142482 2269246344 2836557930 3120213723 3782077240 3876629171 4160284964 4538492688 5200356205 5673115860 6240427446 7564154480 7753258342 8320569928 10400712410 11346231720 11629887513 12480854892 15506516684 15601068615 16641139856 19383145855 20801424820 22692463440 23259775026 24961709784 31013033368 31202137230 38766291710 41602849640 42642920881 46519550052 49923419568 58149437565 62026066736 62404274460 77532583420 83205699280 85285841762 93039100104 116298875130 124808548920 127928762643 155065166840 170571683524 186078200208 213214604405 232597750260 249617097840 255857525286 310130333680 341143367048 426429208810 465195500520 511715050572 639643813215 682286734096 852858417620 930391001040 1023430101144 1279287626430 1705716835240 2046860202288 2558575252860 3411433670480 5117150505720 10234301011440