Search a number
-
+
236074240640 = 2757131402253
BaseRepresentation
bin1101101111011100011…
…1110000101010000000
3211120100102022222120002
43123313013300222000
512331440001200030
6300241230135132
723025065636150
oct3336707605200
9746312288502
10236074240640
1191133833117
12399049514a8
1319352c74ab4
14b5d7142760
15621a49d245
hex36f71f0a80

236074240640 has 128 divisors (see below), whose sum is σ = 649913742720. Its totient is φ = 80321679360.

The previous prime is 236074240639. The next prime is 236074240691. The reversal of 236074240640 is 46042470632.

236074240640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 236074240594 and 236074240603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385754 + ... + 788006.

It is an arithmetic number, because the mean of its divisors is an integer number (5077451115).

Almost surely, 2236074240640 is an apocalyptic number.

236074240640 is a gapful number since it is divisible by the number (20) 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 236074240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324956871360).

236074240640 is an abundant number, since it is smaller than the sum of its proper divisors (413839502080).

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

236074240640 is a wasteful number, since it uses less digits than its factorization.

236074240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402410 (or 402398 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 38.

The spelling of 236074240640 in words is "two hundred thirty-six billion, seventy-four million, two hundred forty thousand, six 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 18340 20960 29344 36680 41920 58688 73360 83840 117376 146720 293440 402253 586880 804506 1609012 2011265 2815771 3218024 4022530 5631542 6436048 8045060 11263084 12872096 14078855 16090120 22526168 25744192 28157710 32180240 45052336 51488384 52695143 56315420 64360480 90104672 105390286 112630840 128720960 180209344 210780572 225261680 257441920 263475715 360418688 368866001 421561144 450523360 526951430 737732002 843122288 901046720 1053902860 1475464004 1686244576 1802093440 1844330005 2107805720 2950928008 3372489152 3688660010 4215611440 5901856016 6744978304 7377320020 8431222880 11803712032 14754640040 16862445760 23607424064 29509280080 33724891520 47214848128 59018560160 118037120320 236074240640