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14140603341040 = 24511293529157013
BaseRepresentation
bin1100110111000101110110…
…1000111001100011110000
31212001211100221220201211011
43031301131220321203300
53323134423423403130
650024034204400304
72656424222132461
oct315613550714360
955054327821734
1014140603341040
114561aa5a39890
121704663546094
137b75b7811477
1436c5a1c72d68
15197c69a9c52a
hexcdc5da398f0

14140603341040 has 160 divisors (see below), whose sum is σ = 37113210763200. Its totient is φ = 4963287490560.

The previous prime is 14140603340971. The next prime is 14140603341077. The reversal of 14140603341040 is 4014330604141.

It is a super-2 number, since 2×141406033410402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14140603340993 and 14140603341011.

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, 89981574 + ... + 90138586.

It is an arithmetic number, because the mean of its divisors is an integer number (231957567270).

Almost surely, 214140603341040 is an apocalyptic number.

14140603341040 is a gapful number since it is divisible by the number (10) 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 14140603341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556605381600).

14140603341040 is an abundant number, since it is smaller than the sum of its proper divisors (22972607422160).

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

14140603341040 is a wasteful number, since it uses less digits than its factorization.

14140603341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160595 (or 160589 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 14140603341040 its reverse (4014330604141), we get a palindrome (18154933945181).

The spelling of 14140603341040 in words is "fourteen trillion, one hundred forty billion, six hundred three million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 3529 5104 6380 7058 12760 14116 17645 25520 28232 35290 38819 56464 70580 77638 102341 141160 155276 157013 194095 204682 282320 310552 314026 388190 409364 511705 621104 628052 776380 785065 818728 1023410 1125751 1256104 1552760 1570130 1637456 1727143 2046820 2251502 2512208 3105520 3140260 3454286 4093640 4503004 4553377 5628755 6280520 6908572 8187280 8635715 9006008 9106754 11257510 12561040 13817144 17271430 18012016 18213508 22515020 22766885 27634288 34542860 36427016 45030040 45533770 50087147 69085720 72854032 90060080 91067540 100174294 138171440 182135080 200348588 250435735 364270160 400697176 500871470 554098877 801394352 1001742940 1108197754 2003485880 2216395508 2770494385 4006971760 4432791016 5540988770 6095087647 8865582032 11081977540 12190175294 16068867433 22163955080 24380350588 30475438235 32137734866 44327910160 48760701176 60950876470 64275469732 80344337165 97521402352 121901752940 128550939464 160688674330 176757541763 243803505880 257101878928 321377348660 353515083526 487607011760 642754697320 707030167052 883787708815 1285509394640 1414060334104 1767575417630 2828120668208 3535150835260 7070301670520 14140603341040