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10140056335241 = 7217194115626363
BaseRepresentation
bin1001001110001110101001…
…1101001011001110001001
31022220101020221221020222222
42103203222131023032021
52312113313410211431
633322135542223425
72064411022505300
oct223435235131611
938811227836888
1010140056335241
11325a4124a5708
121179264424b75
135872845b3381
14270ad2023437
15128b75a9157b
hex938ea74b389

10140056335241 has 48 divisors (see below), whose sum is σ = 13467425549760. Its totient is φ = 7560658990080.

The previous prime is 10140056335183. The next prime is 10140056335243. The reversal of 10140056335241 is 14253365004101.

10140056335241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10140056335241 - 218 = 10140056073097 is a prime.

It is a super-2 number, since 2×101400563352412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10140056335243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7164275 + ... + 8462088.

It is an arithmetic number, because the mean of its divisors is an integer number (280571365620).

Almost surely, 210140056335241 is an apocalyptic number.

It is an amenable number.

10140056335241 is a deficient number, since it is larger than the sum of its proper divisors (3327369214519).

10140056335241 is a wasteful number, since it uses less digits than its factorization.

10140056335241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15626454 (or 15626447 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 10140056335241 in words is "ten trillion, one hundred forty billion, fifty-six million, three hundred thirty-five thousand, two hundred forty-one".

Divisors: 1 7 17 19 41 49 119 133 287 323 697 779 833 931 2009 2261 4879 5453 13243 15827 34153 38171 92701 648907 15626363 109384541 265648171 296900897 640680883 765691787 1859537197 2078306279 4484766181 5047315249 10891575011 12172936777 13016760379 14548143953 31393363267 35331206743 76241025077 85210557439 206939925209 247318447201 533687175539 596473902073 1448579476463 10140056335241