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345022453043532 = 2232112367565391837
BaseRepresentation
bin100111001110010111100110…
…0110000001101000101001100
31200020121211020222100111221200
41032130233030300031011030
5330210321440434343112
63221445043215425500
7132450023011161255
oct11634571460150514
91606554228314850
10345022453043532
119aa31223031a80
12328437b5525290
1311a696297098c4
14612b266689b2c
1529d4c5c06acdc
hex139cbccc0d14c

345022453043532 has 144 divisors (see below), whose sum is σ = 1007609671740672. Its totient is φ = 98513873504640.

The previous prime is 345022453043519. The next prime is 345022453043557. The reversal of 345022453043532 is 235340354220543.

345022453043532 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 2 + 2 + 45 + 30 + 43 + 532 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282085683 + ... + 283306154.

It is an arithmetic number, because the mean of its divisors is an integer number (6997289387088).

Almost surely, 2345022453043532 is an apocalyptic number.

It is an amenable number.

345022453043532 is an abundant number, since it is smaller than the sum of its proper divisors (662587218697140).

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

345022453043532 is a wasteful number, since it uses less digits than its factorization.

345022453043532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565391948 (or 565391943 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 45.

The spelling of 345022453043532 in words is "three hundred forty-five trillion, twenty-two billion, four hundred fifty-three million, forty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 67 69 92 99 132 134 138 198 201 207 253 268 276 396 402 414 506 603 737 759 804 828 1012 1206 1474 1518 1541 2211 2277 2412 2948 3036 3082 4422 4554 4623 6164 6633 8844 9108 9246 13266 13869 16951 18492 26532 27738 33902 50853 55476 67804 101706 152559 203412 305118 610236 565391837 1130783674 1696175511 2261567348 3392351022 5088526533 6219310207 6784702044 10177053066 12438620414 13004012251 18657930621 20354106132 24877240828 26008024502 37315861242 37881253079 39012036753 52016049004 55973791863 74631722484 75762506158 78024073506 111947583726 113643759237 117036110259 143044134761 151525012316 156048147012 223895167452 227287518474 234072220518 286088269522 340931277711 416693783869 429132404283 454575036948 468144441036 572176539044 681862555422 833387567738 858264808566 871268820817 1250081351607 1287397212849 1363725110844 1666775135476 1716529617132 1742537641634 2500162703214 2574794425698 2613806462451 3485075283268 3750244054821 5000325406428 5149588851396 5227612924902 7500488109642 7841419387353 9583957028987 10455225849804 15000976219284 15682838774706 19167914057974 28751871086961 31365677549412 38335828115948 57503742173922 86255613260883 115007484347844 172511226521766 345022453043532