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145324300432311 = 34721113256047833
BaseRepresentation
bin100001000010101111110011…
…010011011111001110110111
3201001112212102100211120010000
4201002233303103133032313
5123021443131402313221
61233025021215202343
742416222432164200
oct4102576323371667
9631485370746100
10145324300432311
1142339764aa7510
12143709a62163b3
13631203ac1c3a0
1427c5a3b2985a7
1511c0342954e26
hex842bf34df3b7

145324300432311 has 120 divisors (see below), whose sum is σ = 296681601064464. Its totient is φ = 69685977957120.

The previous prime is 145324300432303. The next prime is 145324300432349. The reversal of 145324300432311 is 113234003423541.

145324300432311 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 2 + 4 + 300 + 4 + 32 + 311 = 666.

It is not a de Polignac number, because 145324300432311 - 23 = 145324300432303 is a prime.

It is a super-2 number, since 2×1453243004323112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145324300432361) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 127456350 + ... + 128591483.

Almost surely, 2145324300432311 is an apocalyptic number.

145324300432311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145324300432311 is an abundant number, since it is smaller than the sum of its proper divisors (151357300632153).

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

145324300432311 is a wasteful number, since it uses less digits than its factorization.

145324300432311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256047883 (or 256047867 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 145324300432311 its reverse (113234003423541), we get a palindrome (258558303855852).

The spelling of 145324300432311 in words is "one hundred forty-five trillion, three hundred twenty-four billion, three hundred million, four hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 7 9 11 13 21 27 33 39 49 63 77 81 91 99 117 143 147 189 231 273 297 351 429 441 539 567 637 693 819 891 1001 1053 1287 1323 1617 1911 2079 2457 3003 3861 3969 4851 5733 6237 7007 7371 9009 11583 14553 17199 21021 27027 43659 51597 63063 81081 189189 567567 256047833 768143499 1792334831 2304430497 2816526163 3328621829 5377004493 6913291491 8449578489 9985865487 12546343817 16131013479 19715683141 20739874473 23300352803 25348735467 29957596461 36614840119 37639031451 48393040437 59147049423 69901058409 76046206401 89872789383 109844520357 112917094353 138009781987 145179121311 163102469621 177441148269 209703175227 228138619203 256303880833 269618368149 329533561071 338751283059 414029345961 489307408863 532323444807 629109525681 768911642499 988600683213 1016253849177 1242088037883 1467922226589 1596970334421 1794127165831 1887328577043 2306734927497 2965802049639 3726264113649 4403766679767 5382381497493 6920204782491 11178792340947 13211300039301 16147144492479 20760614347473 48441433477437 145324300432311