Search a number
-
+
141141154521195 = 325194718119404887
BaseRepresentation
bin100000000101110111111100…
…011000001110000001101011
3200111201221222201210121011200
4200011313330120032001223
5121444424041024134240
61220103203512455243
741505053245465323
oct4005677430160153
9614657881717150
10141141154521195
1140a7669a204124
12139b61270aa523
13609a7277cb15a
1426bd3a8414283
15114b612ec9930
hex805dfc60e06b

141141154521195 has 96 divisors (see below), whose sum is σ = 264452918446080. Its totient is φ = 69410501026560.

The previous prime is 141141154521187. The next prime is 141141154521197. The reversal of 141141154521195 is 591125451141141.

141141154521195 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 4 + 1 + 1 + 5 + 452 + 1 + 195 = 666.

It is not a de Polignac number, because 141141154521195 - 23 = 141141154521187 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 141141154521195.

It is not an unprimeable number, because it can be changed into a prime (141141154521197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2428959 + ... + 16975928.

It is an arithmetic number, because the mean of its divisors is an integer number (2754717900480).

Almost surely, 2141141154521195 is an apocalyptic number.

141141154521195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

141141154521195 is a deficient number, since it is larger than the sum of its proper divisors (123311763924885).

141141154521195 is a wasteful number, since it uses less digits than its factorization.

141141154521195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19405145 (or 19405142 counting only the distinct ones).

The product of its digits is 144000, while the sum is 45.

The spelling of 141141154521195 in words is "one hundred forty-one trillion, one hundred forty-one billion, one hundred fifty-four million, five hundred twenty-one thousand, one hundred ninety-five".

Divisors: 1 3 5 9 15 19 45 47 57 95 141 171 181 235 285 423 543 705 855 893 905 1629 2115 2679 2715 3439 4465 8037 8145 8507 10317 13395 17195 25521 30951 40185 42535 51585 76563 127605 154755 161633 382815 484899 808165 1454697 2424495 7273485 19404887 58214661 97024435 174643983 291073305 368692853 873219915 912029689 1106078559 1843464265 2736089067 3318235677 3512284547 4560148445 5530392795 8208267201 10536853641 13680445335 16591178385 17328564091 17561422735 31610560923 41041336005 51985692273 52684268205 66733406393 86642820455 155957076819 158052804615 165077373709 200200219179 259928461365 333667031965 495232121127 600600657537 779785384095 825386868545 1001001095895 1485696363381 2476160605635 3003003287685 3136470100471 7428481816905 9409410301413 15682350502355 28228230904239 47047051507065 141141154521195