Search a number
-
+
332141113411305 = 35116782736329413
BaseRepresentation
bin100101110000101001010000…
…1000101001000011011101001
31121120000101021021021020020020
41023201102201011020123221
5322013300000013130210
63134223304314351053
7126650255263654632
oct11341224105103351
91546011237236206
10332141113411305
119691528968a930
123130320aa2b489
1311343a07535573
145c03a03ad0889
15285eb44e6b770
hex12e14a11486e9

332141113411305 has 64 divisors (see below), whose sum is σ = 589101501846528. Its totient is φ = 158442737967360.

The previous prime is 332141113411267. The next prime is 332141113411351. The reversal of 332141113411305 is 503114311141233.

It is a happy number.

It is not a de Polignac number, because 332141113411305 - 233 = 332132523476713 is a prime.

It is a super-2 number, since 2×3321411134113052 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9022222 + ... + 27307191.

It is an arithmetic number, because the mean of its divisors is an integer number (9204710966352).

Almost surely, 2332141113411305 is an apocalyptic number.

It is an amenable number.

332141113411305 is a deficient number, since it is larger than the sum of its proper divisors (256960388435223).

332141113411305 is a wasteful number, since it uses less digits than its factorization.

332141113411305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36330326.

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 332141113411305 its reverse (503114311141233), we get a palindrome (835255424552538).

The spelling of 332141113411305 in words is "three hundred thirty-two trillion, one hundred forty-one billion, one hundred thirteen million, four hundred eleven thousand, three hundred five".

Divisors: 1 3 5 11 15 33 55 67 165 201 335 737 827 1005 2211 2481 3685 4135 9097 11055 12405 27291 45485 55409 136455 166227 277045 609499 831135 1828497 3047495 9142485 36329413 108988239 181647065 399623543 544941195 1198870629 1998117715 2434070671 5994353145 7302212013 12170353355 26774777381 30044424551 36511060065 80324332143 90133273653 133873886905 150222122755 330488670061 401621660715 450666368265 991466010183 1652443350305 2012976444917 4957330050915 6038929334751 10064882224585 22142740894087 30194646673755 66428222682261 110713704470435 332141113411305