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140420441040 = 243511421126341
BaseRepresentation
bin1000001011000110110…
…1011110001111010000
3111102110010211111102120
42002301231132033100
54300040113103130
6144301441214240
713100515024635
oct2026155361720
9442403744376
10140420441040
1154608750780
122326a631380
131031aa0c689
146b213d418c
1539bcac1910
hex20b1b5e3d0

140420441040 has 160 divisors (see below), whose sum is σ = 476008140672. Its totient is φ = 33960192000.

The previous prime is 140420441033. The next prime is 140420441081. The reversal of 140420441040 is 40144024041.

It is a happy number.

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 140420441040.

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, 1048270 + ... + 1174610.

Almost surely, 2140420441040 is an apocalyptic number.

140420441040 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 140420441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238004070336).

140420441040 is an abundant number, since it is smaller than the sum of its proper divisors (335587699632).

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

140420441040 is a wasteful number, since it uses less digits than its factorization.

140420441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126789 (or 126783 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 140420441040 its reverse (40144024041), we get a palindrome (180564465081).

The spelling of 140420441040 in words is "one hundred forty billion, four hundred twenty million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 421 440 528 660 842 880 1263 1320 1684 2105 2526 2640 3368 4210 4631 5052 6315 6736 8420 9262 10104 12630 13893 16840 18524 20208 23155 25260 27786 33680 37048 46310 50520 55572 69465 74096 92620 101040 111144 126341 138930 185240 222288 252682 277860 370480 379023 505364 555720 631705 758046 1010728 1111440 1263410 1389751 1516092 1895115 2021456 2526820 2779502 3032184 3790230 4169253 5053640 5559004 6064368 6948755 7580460 8338506 10107280 11118008 13897510 15160920 16677012 20846265 22236016 27795020 30321840 33354024 41692530 53189561 55590040 66708048 83385060 106379122 111180080 159568683 166770120 212758244 265947805 319137366 333540240 425516488 531895610 585085171 638274732 797843415 851032976 1063791220 1170170342 1276549464 1595686830 1755255513 2127582440 2340340684 2553098928 2925425855 3191373660 3510511026 4255164880 4680681368 5850851710 6382747320 7021022052 8776277565 9361362736 11701703420 12765494640 14042044104 17552555130 23403406840 28084088208 35105110260 46806813680 70210220520 140420441040