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140420511440 = 24511449467761
BaseRepresentation
bin1000001011000110110…
…1101111011011010000
3111102110010222001222222
42002301231233123100
54300040122331230
6144301442520212
713100515440116
oct2026155573320
9442403861888
10140420511440
1154608799660
122326a666068
131031aa35731
146b21411ab6
1539bcad76e5
hex20b1b6f6d0

140420511440 has 160 divisors (see below), whose sum is σ = 358185110400. Its totient is φ = 50772377600.

The previous prime is 140420511437. The next prime is 140420511463. The reversal of 140420511440 is 44115024041.

140420511440 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184520660 + ... + 184521420.

It is an arithmetic number, because the mean of its divisors is an integer number (2238656940).

Almost surely, 2140420511440 is an apocalyptic number.

140420511440 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 140420511440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179092555200).

140420511440 is an abundant number, since it is smaller than the sum of its proper divisors (217764598960).

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

140420511440 is a wasteful number, since it uses less digits than its factorization.

140420511440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 140420511440 its reverse (44115024041), we get a palindrome (184535535481).

The spelling of 140420511440 in words is "one hundred forty billion, four hundred twenty million, five hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 449 467 761 880 898 934 1522 1796 1868 2245 2335 3044 3592 3736 3805 4490 4670 4939 5137 6088 7184 7472 7610 8371 8980 9340 9878 10274 12176 15220 16742 17960 18680 19756 20548 24695 25685 30440 33484 35920 37360 39512 41096 41855 49390 51370 60880 66968 79024 82192 83710 98780 102740 133936 167420 197560 205480 209683 334840 341689 355387 395120 410960 419366 669680 683378 710774 838732 1048415 1366756 1421548 1677464 1708445 1776935 2096830 2306513 2733512 2843096 3354928 3416890 3553870 3758579 3909257 4193660 4613026 5467024 5686192 6833780 7107740 7517158 7818514 8387320 9226052 11532565 13667560 14215480 15034316 15637028 16774640 18452104 18792895 19546285 23065130 27335120 28430960 30068632 31274056 36904208 37585790 39092570 46130260 60137264 62548112 75171580 78185140 92260520 150343160 156370280 159568763 184521040 300686320 312740560 319137526 638275052 797843815 1276550104 1595687630 1755256393 2553100208 3191375260 3510512786 6382750520 7021025572 8776281965 12765501040 14042051144 17552563930 28084102288 35105127860 70210255720 140420511440