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141351477026445 = 32574110944752383
BaseRepresentation
bin100000001000111011110100…
…100100111001111010001101
3200112111001212110200212211100
4200020323310210321322031
5122011400311104321240
61220343545550013313
741526210241335660
oct4010736444717215
9615431773625740
10141351477026445
11410479088352a4
1213a2aa437a7239
1360b45055850aa
1426c963b4096d7
151151d227b3e30
hex808ef4939e8d

141351477026445 has 48 divisors (see below), whose sum is σ = 286840070479872. Its totient is φ = 63041773720320.

The previous prime is 141351477026423. The next prime is 141351477026467. The reversal of 141351477026445 is 544620774153141.

141351477026445 is a `hidden beast` number, since 1 + 4 + 1 + 35 + 147 + 7 + 0 + 26 + 445 = 666.

It is an interprime number because it is at equal distance from previous prime (141351477026423) and next prime (141351477026467).

It is not a de Polignac number, because 141351477026445 - 29 = 141351477025933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 141351477026391 and 141351477026400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5472363277 + ... + 5472389106.

It is an arithmetic number, because the mean of its divisors is an integer number (5975834801664).

Almost surely, 2141351477026445 is an apocalyptic number.

141351477026445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141351477026445 is an abundant number, since it is smaller than the sum of its proper divisors (145488593453427).

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

141351477026445 is a wasteful number, since it uses less digits than its factorization.

141351477026445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944752442 (or 10944752439 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 141351477026445 in words is "one hundred forty-one trillion, three hundred fifty-one billion, four hundred seventy-seven million, twenty-six thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 615 861 1435 1845 2583 4305 12915 10944752383 32834257149 54723761915 76613266681 98502771447 164171285745 229839800043 383066333405 448734847703 492513857235 689519400129 1149199000215 1346204543109 2243674238515 3141143933921 3447597000645 4038613629327 6731022715545 9423431801763 15705719669605 20193068146635 28270295405289 47117159008815 141351477026445