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140240011004304 = 243591271572724793
BaseRepresentation
bin11111111000110000101100…
…000010100000100110010000
3200101112210222111021211122220
4133320300230002200212100
5121340143020304114204
61214133212135501040
741353002131125311
oct3770605402404620
9611483874254586
10140240011004304
1140759500187152
121388b553b27780
136033765165b43
14268b91d202608
151132e703bd1d9
hex7f8c2c0a0990

140240011004304 has 160 divisors (see below), whose sum is σ = 371366737674240. Its totient is φ = 45587770776576.

The previous prime is 140240011004297. The next prime is 140240011004321. The reversal of 140240011004304 is 403400110042041.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5656423332 + ... + 5656448124.

It is an arithmetic number, because the mean of its divisors is an integer number (2321042110464).

Almost surely, 2140240011004304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140240011004304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185683368837120).

140240011004304 is an abundant number, since it is smaller than the sum of its proper divisors (231126726669936).

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

140240011004304 is a wasteful number, since it uses less digits than its factorization.

140240011004304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40717 (or 40711 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 140240011004304 its reverse (403400110042041), we get a palindrome (543640121046345).

The spelling of 140240011004304 in words is "one hundred forty trillion, two hundred forty billion, eleven million, four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 127 177 236 254 354 381 472 508 708 762 944 1016 1416 1524 2032 2832 3048 6096 7493 14986 15727 22479 24793 29972 31454 44958 47181 49586 59944 62908 74379 89916 94362 99172 119888 125816 148758 179832 188724 198344 251632 297516 359664 377448 396688 595032 754896 927893 1190064 1462787 1855786 1997329 2783679 2925574 3148711 3711572 3994658 4388361 5567358 5851148 5991987 6297422 7423144 7989316 8776722 9446133 11134716 11702296 11983974 12594844 14846288 15978632 17553444 18892266 22269432 23404592 23967948 25189688 31957264 35106888 37784532 44538864 47935896 50379376 70213776 75569064 95871792 117842411 151138128 185773949 235684822 353527233 371547898 389919511 471369644 557321847 707054466 743095796 779839022 942739288 1114643694 1169758533 1414108932 1486191592 1559678044 1885478576 2229287388 2339517066 2828217864 2972383184 3119356088 4458574776 4679034132 5656435728 6238712176 8917149552 9358068264 18716136528 23005251149 46010502298 49519777897 69015753447 92021004596 99039555794 138031506894 148559333691 184042009192 198079111588 276063013788 297118667382 368084018384 396158223176 552126027576 594237334764 792316446352 1104252055152 1188474669528 2376949339056 2921666895923 5843333791846 8765000687769 11686667583692 17530001375538 23373335167384 35060002751076 46746670334768 70120005502152 140240011004304