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140440130343104 = 2659439697712143
BaseRepresentation
bin11111111011101011000100…
…000101001101000011000000
3200102020221112011010120012212
4133323223010011031003000
5121401432341331434404
61214405145531441252
741403315231340664
oct3773530405150300
9612227464116185
10140440130343104
1140826363348359
12139022a35b6228
1360495a8109c97
1426974a50aa8a4
15113828406706e
hex7fbac414d0c0

140440130343104 has 112 divisors (see below), whose sum is σ = 284119061529600. Its totient is φ = 68857108709376.

The previous prime is 140440130343047. The next prime is 140440130343187. The reversal of 140440130343104 is 401343031044041.

140440130343104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 11565515657 + ... + 11565527799.

Almost surely, 2140440130343104 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 140440130343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142059530764800).

140440130343104 is an abundant number, since it is smaller than the sum of its proper divisors (143678931186496).

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

140440130343104 is a wasteful number, since it uses less digits than its factorization.

140440130343104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19630 (or 19620 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 140440130343104 its reverse (401343031044041), we get a palindrome (541783161387145).

The spelling of 140440130343104 in words is "one hundred forty trillion, four hundred forty billion, one hundred thirty million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 59 64 118 236 439 472 878 944 1756 1888 3512 3776 6977 7024 12143 13954 14048 24286 25901 27908 28096 48572 51802 55816 97144 103604 111632 194288 207208 223264 388576 411643 414416 446528 716437 777152 823286 828832 1432874 1646572 1657664 2865748 3062903 3293144 5330777 5731496 6125806 6586288 10661554 11462992 12251612 13172576 21323108 22925984 24503224 26345152 42646216 45851968 49006448 84721711 85292432 98012896 169443422 170584864 180711277 196025792 314515843 338886844 341169728 361422554 629031686 677773688 722845108 1258063372 1355547376 1445690216 2516126744 2711094752 2891380432 4998580949 5032253488 5422189504 5782760864 9997161898 10064506976 11565521728 19994323796 20129013952 37192831129 39988647592 74385662258 79977295184 148771324516 159954590368 297542649032 319909180736 595085298064 1190170596128 2194377036611 2380341192256 4388754073222 8777508146444 17555016292888 35110032585776 70220065171552 140440130343104