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10313242240 = 275713117573
BaseRepresentation
bin10011001101011011…
…11001011010000000
3222121202011222200211
421212231321122000
5132110142222430
64423212323504
7513400053430
oct114655713200
928552158624
1010313242240
1144126135a4
121bb9a73594
13c84873802
146db9c22c0
1540563572a
hex266b79680

10313242240 has 128 divisors (see below), whose sum is σ = 28393960320. Its totient is φ = 3508776960.

The previous prime is 10313242211. The next prime is 10313242283. The reversal of 10313242240 is 4224231301.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578094 + ... + 595666.

It is an arithmetic number, because the mean of its divisors is an integer number (221827815).

Almost surely, 210313242240 is an apocalyptic number.

10313242240 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 10313242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14196980160).

10313242240 is an abundant number, since it is smaller than the sum of its proper divisors (18080718080).

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

10313242240 is a wasteful number, since it uses less digits than its factorization.

10313242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17730 (or 17718 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10313242240 its reverse (4224231301), we get a palindrome (14537473541).

The spelling of 10313242240 in words is "ten billion, three hundred thirteen million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 131 140 160 224 262 280 320 448 524 560 640 655 896 917 1048 1120 1310 1834 2096 2240 2620 3668 4192 4480 4585 5240 7336 8384 9170 10480 14672 16768 17573 18340 20960 29344 35146 36680 41920 58688 70292 73360 83840 87865 117376 123011 140584 146720 175730 246022 281168 293440 351460 492044 562336 586880 615055 702920 984088 1124672 1230110 1405840 1968176 2249344 2302063 2460220 2811680 3936352 4604126 4920440 5623360 7872704 9208252 9840880 11246720 11510315 15745408 16114441 18416504 19681760 23020630 32228882 36833008 39363520 46041260 64457764 73666016 78727040 80572205 92082520 128915528 147332032 161144410 184165040 257831056 294664064 322288820 368330080 515662112 644577640 736660160 1031324224 1289155280 1473320320 2062648448 2578310560 5156621120 10313242240