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141335114112 = 27361514651
BaseRepresentation
bin1000001110100000111…
…0101011000110000000
3111111210212221201000000
42003220032223012000
54303423242122422
6144532314000000
713132262435163
oct2035016530600
9444725851000
10141335114112
1154a37a95135
1223484a16000
131043537294a
146baaa8dada
153a2304acac
hex20e83ab180

141335114112 has 112 divisors (see below), whose sum is σ = 422156232180. Its totient is φ = 47111673600.

The previous prime is 141335114111. The next prime is 141335114143. The reversal of 141335114112 is 211411533141.

141335114112 is a `hidden beast` number, since 1 + 4 + 1 + 33 + 511 + 4 + 112 = 666.

It is a super-2 number, since 2×1413351141122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141335114111) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 664014 + ... + 850637.

Almost surely, 2141335114112 is an apocalyptic number.

141335114112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141335114112 is an abundant number, since it is smaller than the sum of its proper divisors (280821118068).

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

141335114112 is an frugal number, since it uses more digits than its factorization.

141335114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514683 (or 1514656 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 141335114112 its reverse (211411533141), we get a palindrome (352746647253).

The spelling of 141335114112 in words is "one hundred forty-one billion, three hundred thirty-five million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 15552 23328 31104 46656 93312 1514651 3029302 4543953 6058604 9087906 12117208 13631859 18175812 24234416 27263718 36351624 40895577 48468832 54527436 72703248 81791154 96937664 109054872 122686731 145406496 163582308 193875328 218109744 245373462 290812992 327164616 368060193 436219488 490746924 581625984 654329232 736120386 872438976 981493848 1104180579 1308658464 1472240772 1744877952 1962987696 2208361158 2617316928 2944481544 3925975392 4416722316 5234633856 5888963088 7851950784 8833444632 11777926176 15703901568 17666889264 23555852352 35333778528 47111704704 70667557056 141335114112