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31342435430544 = 2433729357398689
BaseRepresentation
bin1110010000001011110101…
…01110101111000010010000
311002222022022012210102212000
413020011322232233002100
513102003301432234134
6150354303245234000
76413262524312160
oct710057256570220
9132868265712760
1031342435430544
119a942857832a7
12362245a262900
13146476b02b5b4
147a4da67465a0
1539544e409e99
hex1c817abaf090

31342435430544 has 160 divisors (see below), whose sum is σ = 106361850144000. Its totient is φ = 8646189060096.

The previous prime is 31342435430543. The next prime is 31342435430557. The reversal of 31342435430544 is 44503453424313.

31342435430544 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 24 + 3 + 54 + 30 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31342435430544.

It is not an unprimeable number, because it can be changed into a prime (31342435430543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178611649 + ... + 178787040.

It is an arithmetic number, because the mean of its divisors is an integer number (664761563400).

Almost surely, 231342435430544 is an apocalyptic number.

It is an amenable number.

31342435430544 is an abundant number, since it is smaller than the sum of its proper divisors (75019414713456).

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

31342435430544 is a wasteful number, since it uses less digits than its factorization.

31342435430544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357398742 (or 357398730 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

Adding to 31342435430544 its reverse (44503453424313), we get a palindrome (75845888854857).

The spelling of 31342435430544 in words is "thirty-one trillion, three hundred forty-two billion, four hundred thirty-five million, four hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 54 56 58 63 72 84 87 108 112 116 126 144 168 174 189 203 216 232 252 261 336 348 378 406 432 464 504 522 609 696 756 783 812 1008 1044 1218 1392 1512 1566 1624 1827 2088 2436 3024 3132 3248 3654 4176 4872 5481 6264 7308 9744 10962 12528 14616 21924 29232 43848 87696 357398689 714797378 1072196067 1429594756 2144392134 2501790823 2859189512 3216588201 4288784268 5003581646 5718379024 6433176402 7505372469 8577568536 9649764603 10007163292 10364561981 12866352804 15010744938 17155137072 19299529206 20014326584 20729123962 22516117407 25732705608 30021489876 31093685943 38599058412 40028653168 41458247924 45032234814 51465411216 60042979752 62187371886 67548352221 72551933867 77198116824 82916495848 90064469628 93281057829 120085959504 124374743772 135096704442 145103867734 154396233648 165832991696 180128939256 186562115658 217655801601 248749487544 270193408884 279843173487 290207735468 360257878512 373124231316 435311603202 497498975088 540386817768 559686346974 580415470936 652967404803 746248462632 870623206404 1080773635536 1119372693948 1160830941872 1305934809606 1492496925264 1741246412808 1958902214409 2238745387896 2611869619212 3482492825616 3917804428818 4477490775792 5223739238424 7835608857636 10447478476848 15671217715272 31342435430544