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140731440640 = 295741918743
BaseRepresentation
bin1000001100010000111…
…1110101111000000000
3111110020211000220200021
42003010033311320000
54301204222100030
6144352351103224
713111312336210
oct2030417657000
9443224026607
10140731440640
115475825833a
1223336811b14
131036a28bccb
146b5082c240
1539da05497a
hex20c43f5e00

140731440640 has 160 divisors (see below), whose sum is σ = 386570257920. Its totient is φ = 48133054464.

The previous prime is 140731440611. The next prime is 140731440659. The reversal of 140731440640 is 46044137041.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 140731440596 and 140731440605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7499109 + ... + 7517851.

It is an arithmetic number, because the mean of its divisors is an integer number (2416064112).

Almost surely, 2140731440640 is an apocalyptic number.

140731440640 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 140731440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193285128960).

140731440640 is an abundant number, since it is smaller than the sum of its proper divisors (245838817280).

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

140731440640 is an equidigital number, since it uses as much as digits as its factorization.

140731440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19192 (or 19176 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

Adding to 140731440640 its reverse (46044137041), we get a palindrome (186775577681).

The spelling of 140731440640 in words is "one hundred forty billion, seven hundred thirty-one million, four hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 419 448 512 560 640 838 896 1120 1280 1676 1792 2095 2240 2560 2933 3352 3584 4190 4480 5866 6704 8380 8960 11732 13408 14665 16760 17920 18743 23464 26816 29330 33520 37486 46928 53632 58660 67040 74972 93715 93856 107264 117320 131201 134080 149944 187430 187712 214528 234640 262402 268160 299888 374860 375424 469280 524804 536320 599776 656005 749720 750848 938560 1049608 1072640 1199552 1312010 1499440 1501696 1877120 2099216 2399104 2624020 2998880 3754240 4198432 4798208 5248040 5997760 7508480 7853317 8396864 9596416 10496080 11995520 15706634 16793728 20992160 23991040 31413268 33587456 39266585 41984320 47982080 54973219 62826536 67174912 78533170 83968640 109946438 125653072 157066340 167937280 219892876 251306144 274866095 314132680 335874560 439785752 502612288 549732190 628265360 879571504 1005224576 1099464380 1256530720 1759143008 2010449152 2198928760 2513061440 3518286016 4020898304 4397857520 5026122880 7036572032 8795715040 10052245760 14073144064 17591430080 20104491520 28146288128 35182860160 70365720320 140731440640