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42457603979322 = 2347431245169931
BaseRepresentation
bin10011010011101011011100…
…11001110011100000111010
312120022220111102101120120000
421221311232121303200322
521031111133104314242
6230144430510413430
711641314002146350
oct1151655631634072
9176286442346500
1042457603979322
111258a194640534
124918699801276
131a8c9726a2a1c
14a6ad5d6b97d0
154d9646808a4c
hex269d6e67383a

42457603979322 has 160 divisors (see below), whose sum is σ = 111266480100864. Its totient is φ = 11847512628000.

The previous prime is 42457603979317. The next prime is 42457603979369. The reversal of 42457603979322 is 22397930675424.

It is a happy number.

42457603979322 is a `hidden beast` number, since 4 + 2 + 4 + 576 + 0 + 39 + 7 + 9 + 3 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 42457603979322.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 607100697 + ... + 607170627.

Almost surely, 242457603979322 is an apocalyptic number.

42457603979322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42457603979322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55633240050432).

42457603979322 is an abundant number, since it is smaller than the sum of its proper divisors (68808876121542).

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

42457603979322 is a wasteful number, since it uses less digits than its factorization.

42457603979322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82446 (or 82437 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 42457603979322 in words is "forty-two trillion, four hundred fifty-seven billion, six hundred three million, nine hundred seventy-nine thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 81 86 126 129 162 189 258 301 378 387 567 602 774 903 1134 1161 1806 2322 2709 3483 5418 6966 8127 12451 16254 24381 24902 37353 48762 69931 74706 87157 112059 139862 174314 209793 224118 261471 336177 419586 489517 522942 535393 629379 672354 784413 979034 1008531 1070786 1258758 1468551 1568826 1606179 1888137 2017062 2353239 2937102 3007033 3212358 3747751 3776274 4405653 4706478 4818537 5664411 6014066 7059717 7495502 8811306 9021099 9637074 11243253 11328822 13216959 14119434 14455611 18042198 21049231 22486506 26433918 27063297 28911222 33729759 39650877 42098462 43366833 54126594 63147693 67459518 79301754 81189891 86733666 101189277 126295386 162379782 189443079 202378554 243569673 303567831 378886158 487139346 568329237 607135662 870710881 1136658474 1704987711 1741421762 2612132643 3409975422 5224265286 6094976167 7836397929 12189952334 15672795858 18284928501 23509193787 36569857002 37440567883 47018387574 54854785503 70527581361 74881135766 109709571006 112321703649 141055162722 164564356509 224643407298 262083975181 329128713018 336965110947 493693069527 524167950362 673930221894 786251925543 987386139054 1010895332841 1572503851086 2021790665682 2358755776629 3032685998523 4717511553258 6065371997046 7076267329887 14152534659774 21228801989661 42457603979322