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13424126640 = 24352314231709
BaseRepresentation
bin11001000000010001…
…11110101010110000
31021122112212021211120
430200020332222300
5204443034023030
610100021342240
7653443123311
oct144010765260
937575767746
1013424126640
11576962a041
122727867980
13135c20cb02
14914c10608
155387ce010
hex32023eab0

13424126640 has 160 divisors (see below), whose sum is σ = 43480074240. Its totient is φ = 3419716608.

The previous prime is 13424126623. The next prime is 13424126641. The reversal of 13424126640 is 4662142431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13424126641) 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, 7854106 + ... + 7855814.

It is an arithmetic number, because the mean of its divisors is an integer number (271750464).

Almost surely, 213424126640 is an apocalyptic number.

13424126640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13424126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21740037120).

13424126640 is an abundant number, since it is smaller than the sum of its proper divisors (30055947600).

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

13424126640 is a wasteful number, since it uses less digits than its factorization.

13424126640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 13424126640 in words is "thirteen billion, four hundred twenty-four million, one hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1423 1709 1840 2760 2846 3418 4269 5127 5520 5692 6836 7115 8538 8545 10254 11384 13672 14230 17076 17090 20508 21345 22768 25635 27344 28460 32729 34152 34180 39307 41016 42690 51270 56920 65458 68304 68360 78614 82032 85380 98187 102540 113840 117921 130916 136720 157228 163645 170760 196374 196535 205080 235842 261832 314456 327290 341520 392748 393070 410160 471684 490935 523664 589605 628912 654580 785496 786140 943368 981870 1179210 1309160 1570992 1572280 1886736 1963740 2358420 2431907 2618320 3144560 3927480 4716840 4863814 7295721 7854960 9433680 9727628 12159535 14591442 19455256 24319070 29182884 36478605 38910512 48638140 55933861 58365768 72957210 97276280 111867722 116731536 145914420 167801583 194552560 223735444 279669305 291828840 335603166 447470888 559338610 583657680 671206332 839007915 894941776 1118677220 1342412664 1678015830 2237354440 2684825328 3356031660 4474708880 6712063320 13424126640