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141404311032 = 23337193825073
BaseRepresentation
bin1000001110110001011…
…0101000110111111000
3111111222201011021022220
42003230112220313320
54304044000423112
6144543225044040
713134062545365
oct2035426506770
9444881137286
10141404311032
1154a73057876
12234a4026620
13104467bca7a
146bb5d4346c
153a2916898c
hex20ec5a8df8

141404311032 has 64 divisors (see below), whose sum is σ = 364946731680. Its totient is φ = 45623181312.

The previous prime is 141404311031. The next prime is 141404311051. The reversal of 141404311032 is 230113404141.

141404311032 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 141404310993 and 141404311011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141404311031) 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 15 ways as a sum of consecutive naturals, for example, 241153 + ... + 583920.

Almost surely, 2141404311032 is an apocalyptic number.

141404311032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141404311032 is an abundant number, since it is smaller than the sum of its proper divisors (223542420648).

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

141404311032 is a wasteful number, since it uses less digits than its factorization.

141404311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825312 (or 825308 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 141404311032 its reverse (230113404141), we get a palindrome (371517715173).

The spelling of 141404311032 in words is "one hundred forty-one billion, four hundred four million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 193 222 296 386 444 579 772 888 1158 1544 2316 4632 7141 14282 21423 28564 42846 57128 85692 171384 825073 1650146 2475219 3300292 4950438 6600584 9900876 19801752 30527701 61055402 91583103 122110804 159239089 183166206 244221608 318478178 366332412 477717267 636956356 732664824 955434534 1273912712 1910869068 3821738136 5891846293 11783692586 17675538879 23567385172 35351077758 47134770344 70702155516 141404311032