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141413431220145 = 33571223301140637
BaseRepresentation
bin100000001001110101100001…
…010101011001011110110001
3200112200222210011110000101000
4200021311201111121132301
5122013404201343021040
61220432233343232213
741533532440315260
oct4011654125313661
9615628704400330
10141413431220145
1141071110312a77
1213a3aa53ba8669
1360ba2c9b3bcc6
1426cc6376325d7
15115374b87c130
hex809d615597b1

141413431220145 has 128 divisors (see below), whose sum is σ = 287653683732480. Its totient is φ = 64570239901440.

The previous prime is 141413431220107. The next prime is 141413431220153. The reversal of 141413431220145 is 541022134314141.

141413431220145 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 13 + 431 + 2 + 201 + 4 + 5 = 666.

It is not a de Polignac number, because 141413431220145 - 28 = 141413431219889 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3479897767 + ... + 3479938403.

It is an arithmetic number, because the mean of its divisors is an integer number (2247294404160).

Almost surely, 2141413431220145 is an apocalyptic number.

141413431220145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141413431220145 is an abundant number, since it is smaller than the sum of its proper divisors (146240252512335).

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

141413431220145 is a wasteful number, since it uses less digits than its factorization.

141413431220145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44892 (or 44886 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 141413431220145 its reverse (541022134314141), we get a palindrome (682435565534286).

The spelling of 141413431220145 in words is "one hundred forty-one trillion, four hundred thirteen billion, four hundred thirty-one million, two hundred twenty thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1223 3011 3669 6115 8561 9033 11007 15055 18345 21077 25683 27099 33021 40637 42805 45165 55035 63231 77049 81297 105385 121911 128415 135495 165105 189693 203185 231147 284459 316155 365733 385245 406485 569079 609555 853377 948465 1097199 1155735 1422295 1828665 2560131 2845395 3682453 4266885 5485995 7680393 11047359 12800655 18412265 25777171 33142077 38401965 49699051 55236795 77331513 99426231 122358007 128885855 149097153 165710385 231994539 248495255 347893357 367074021 386657565 447291459 497131155 611790035 695983617 745485765 856506049 1043680071 1101222063 1159972695 1341874377 1739466785 1835370105 2236457295 2569518147 3131040213 3303666189 3479918085 4282530245 5218400355 5506110315 6709371885 7708554441 9393120639 12847590735 15655201065 16518330945 23125663323 38542772205 46965603195 115628316615 149643842561 448931527683 748219212805 1047506897927 1346794583049 2244657638415 3142520693781 4040383749147 5237534489635 6733972915245 9427562081343 15712603468905 20201918745735 28282686244029 47137810406715 141413431220145