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10140146255512 = 2371321171599221
BaseRepresentation
bin1001001110001110111111…
…0100001100011010011000
31022220101111020010200102101
42103203233310030122120
52312114004420134022
633322152513413144
72064413164016440
oct223435764143230
938811436120371
1010140146255512
11325a459232089
12117928a56a1b4
1358729a107c30
14270addd4d120
15128b7d904627
hex938efd0c698

10140146255512 has 128 divisors (see below), whose sum is σ = 23517073843200. Its totient is φ = 3991484044800.

The previous prime is 10140146255507. The next prime is 10140146255513. The reversal of 10140146255512 is 21555264104101.

10140146255512 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 not an unprimeable number, because it can be changed into a prime (10140146255513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099675062 + ... + 1099684282.

It is an arithmetic number, because the mean of its divisors is an integer number (183727139400).

Almost surely, 210140146255512 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 10140146255512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11758536921600).

10140146255512 is an abundant number, since it is smaller than the sum of its proper divisors (13376927587688).

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

10140146255512 is a wasteful number, since it uses less digits than its factorization.

10140146255512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16617 (or 16613 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The spelling of 10140146255512 in words is "ten trillion, one hundred forty billion, one hundred forty-six million, two hundred fifty-five thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 211 364 422 728 844 1477 1688 2743 2954 5486 5908 7159 9221 10972 11816 14318 18442 19201 21944 28636 36884 38402 50113 57272 64547 73768 76804 93067 100226 119873 129094 153608 186134 200452 239746 258188 372268 400904 479492 516376 651469 744536 839111 958984 1302938 1510549 1678222 1945631 2605876 3021098 3356444 3891262 5211752 6042196 6712888 7782524 10573843 12084392 13619417 15565048 19637137 21147686 25293203 27238834 39274274 42295372 50586406 54477668 66013139 78548548 84590744 101172812 108955336 132026278 137459959 157097096 177052421 202345624 264052556 274919918 354104842 462091973 528105112 549839836 708209684 858170807 924183946 1099679672 1416419368 1716341614 1848367892 3432683228 3696735784 6007195649 6865366456 12014391298 13928772329 24028782596 27857544658 48057565192 55715089316 97501406303 111430178632 181074040277 195002812606 362148080554 390005625212 724296161108 780011250424 1267518281939 1448592322216 2535036563878 5070073127756 10140146255512