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141018146360268 = 223192772232854303
BaseRepresentation
bin100000000100000101011000…
…100001010100101111001100
3200111022012111002020120122120
4200010011120201110233030
5121440420130432012033
61215530501521012540
741463140061410412
oct4004053041245714
9614265432216576
10141018146360268
1140a295073151a1
1213996317a84150
13608bc53332b08
1426b745977d2b2
151148313dbc1b3
hex804158854bcc

141018146360268 has 48 divisors (see below), whose sum is σ = 347610758046720. Its totient is φ = 44371280689344.

The previous prime is 141018146360263. The next prime is 141018146360269. The reversal of 141018146360268 is 862063641810141.

141018146360268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1410181463602682 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141018146360268.

It is not an unprimeable number, because it can be changed into a prime (141018146360263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1116363996 + ... + 1116490307.

It is an arithmetic number, because the mean of its divisors is an integer number (7241890792640).

Almost surely, 2141018146360268 is an apocalyptic number.

It is an amenable number.

141018146360268 is an abundant number, since it is smaller than the sum of its proper divisors (206592611686452).

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

141018146360268 is a wasteful number, since it uses less digits than its factorization.

141018146360268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232854606 (or 2232854604 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 141018146360268 in words is "one hundred forty-one trillion, eighteen billion, one hundred forty-six million, three hundred sixty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 277 554 831 1108 1662 3324 5263 10526 15789 21052 31578 63156 2232854303 4465708606 6698562909 8931417212 13397125818 26794251636 42424231757 84848463514 127272695271 169696927028 254545390542 509090781084 618500641931 1237001283862 1855501925793 2474002567724 3711003851586 7422007703172 11751512196689 23503024393378 35254536590067 47006048786756 70509073180134 141018146360268