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342421024121424 = 243237541118795213
BaseRepresentation
bin100110111011011100001101…
…1100000011010001001010000
31122220102010111220212211212100
41031312320123200122021100
5324340211224133341144
63212134014041400400
7132061050122163423
oct11566703340321120
91586363456784770
10342421024121424
119a118a39245336
12324a35a4199100
131190b2194810c1
14607b3a1c759ba
15298c253a66269
hex1376e1b81a250

342421024121424 has 120 divisors (see below), whose sum is σ = 986022609700232. Its totient is φ = 110850188221440.

The previous prime is 342421024121381. The next prime is 342421024121503. The reversal of 342421024121424 is 424121420124243.

342421024121424 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 2 + 102 + 4 + 121 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 148136454161424 + 194284569960000 = 12171132^2 + 13938600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56515159 + ... + 62280054.

Almost surely, 2342421024121424 is an apocalyptic number.

It is an amenable number.

342421024121424 is an abundant number, since it is smaller than the sum of its proper divisors (643601585578808).

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

342421024121424 is a wasteful number, since it uses less digits than its factorization.

342421024121424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118795805 (or 118795796 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 342421024121424 its reverse (424121420124243), we get a palindrome (766542444245667).

The spelling of 342421024121424 in words is "three hundred forty-two trillion, four hundred twenty-one billion, twenty-four million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 541 592 666 888 1082 1332 1623 1776 2164 2664 3246 4328 4869 5328 6492 8656 9738 12984 19476 20017 25968 38952 40034 60051 77904 80068 120102 160136 180153 240204 320272 360306 480408 720612 960816 1441224 2882448 118795213 237590426 356385639 475180852 712771278 950361704 1069156917 1425542556 1900723408 2138313834 2851085112 4276627668 4395422881 5702170224 8553255336 8790845762 13186268643 17106510672 17581691524 26372537286 35163383048 39558805929 52745074572 64268210233 70326766096 79117611858 105490149144 128536420466 158235223716 192804630699 210980298288 257072840932 316470447432 385609261398 514145681864 578413892097 632940894864 771218522796 1028291363728 1156827784194 1542437045592 2313655568388 2377923778621 3084874091184 4627311136776 4755847557242 7133771335863 9254622273552 9511695114484 14267542671726 19023390228968 21401314007589 28535085343452 38046780457936 42802628015178 57070170686904 85605256030356 114140341373808 171210512060712 342421024121424