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141038384112 = 243317191010767
BaseRepresentation
bin1000001101011010001…
…0101111001111110000
3111111001012121020222000
42003112202233033300
54302321311242422
6144443034014000
713122030325143
oct2032642571760
9444035536860
10141038384112
11548a554452a
1223401577300
13103b8a4b372
146b7d4cc05a
153a06e85cac
hex20d68af3f0

141038384112 has 160 divisors (see below), whose sum is σ = 451206835200. Its totient is φ = 41918487552.

The previous prime is 141038384099. The next prime is 141038384117. The reversal of 141038384112 is 211483830141.

141038384112 is digitally balanced in base 2, 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141038384117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365848 + ... + 644919.

It is an arithmetic number, because the mean of its divisors is an integer number (2820042720).

Almost surely, 2141038384112 is an apocalyptic number.

141038384112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141038384112 is an abundant number, since it is smaller than the sum of its proper divisors (310168451088).

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

141038384112 is a wasteful number, since it uses less digits than its factorization.

141038384112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010820 (or 1010808 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 141038384112 in words is "one hundred forty-one billion, thirty-eight million, three hundred eighty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 27 34 36 38 48 51 54 57 68 72 76 102 108 114 136 144 152 153 171 204 216 228 272 304 306 323 342 408 432 456 459 513 612 646 684 816 912 918 969 1026 1224 1292 1368 1836 1938 2052 2448 2584 2736 2907 3672 3876 4104 5168 5814 7344 7752 8208 8721 11628 15504 17442 23256 34884 46512 69768 139536 1010767 2021534 3032301 4043068 6064602 8086136 9096903 12129204 16172272 17183039 18193806 19204573 24258408 27290709 34366078 36387612 38409146 48516816 51549117 54581418 57613719 68732156 72775224 76818292 103098234 109162836 115227438 137464312 145550448 153636584 154647351 172841157 206196468 218325672 230454876 274928624 307273168 309294702 326477741 345682314 412392936 436651344 460909752 463942053 518523471 618589404 652955482 691364628 824785872 921819504 927884106 979433223 1037046942 1237178808 1305910964 1382729256 1855768212 1958866446 2074093884 2474357616 2611821928 2765458512 2938299669 3711536424 3917732892 4148187768 5223643856 5876599338 7423072848 7835465784 8296375536 8814899007 11753198676 15670931568 17629798014 23506397352 35259596028 47012794704 70519192056 141038384112