Search a number
-
+
211405601514 = 231931714234111
BaseRepresentation
bin1100010011100011000…
…0010111101011101010
3202012200012221021102010
43010320300113223222
511430424313222024
6241041323420350
721162553651362
oct3047060275352
9665605837363
10211405601514
1181724a50458
1234b7b3846b6
1316c21299903
14a336bb39a2
155774931b29
hex3138c17aea

211405601514 has 64 divisors (see below), whose sum is σ = 446890844160. Its totient is φ = 66486121920.

The previous prime is 211405601513. The next prime is 211405601531. The reversal of 211405601514 is 415106504112.

211405601514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211405601513) 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 31 ways as a sum of consecutive naturals, for example, 51422319 + ... + 51426429.

It is an arithmetic number, because the mean of its divisors is an integer number (6982669440).

Almost surely, 2211405601514 is an apocalyptic number.

211405601514 is an abundant number, since it is smaller than the sum of its proper divisors (235485242646).

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

211405601514 is a wasteful number, since it uses less digits than its factorization.

211405601514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875.

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 211405601514 in words is "two hundred eleven billion, four hundred five million, six hundred one thousand, five hundred fourteen".

Divisors: 1 2 3 6 19 38 57 114 317 634 951 1423 1902 2846 4111 4269 6023 8222 8538 12046 12333 18069 24666 27037 36138 54074 78109 81111 156218 162222 234327 451091 468654 902182 1303187 1353273 2606374 2706546 3909561 5849953 7819122 8570729 11699906 17141458 17549859 24760553 25712187 35099718 49521106 51424374 74281659 111149107 148563318 222298214 333447321 666894642 1854435101 3708870202 5563305303 11126610606 35234266919 70468533838 105702800757 211405601514