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133243403131040 = 25523112543321721
BaseRepresentation
bin11110010010111100100101…
…101101100101100010100000
3122110202221111212012202101012
4132102330211231211202200
5114431024442200143130
61151215101355200052
740031342512351316
oct3622744555454240
9573687455182335
10133243403131040
1139501234467934
1212b3b56a146028
135946a505377c7
1424c902d6c80b6
151060e778bd995
hex792f25b658a0

133243403131040 has 96 divisors (see below), whose sum is σ = 328477894327296. Its totient is φ = 50979473233920.

The previous prime is 133243403131039. The next prime is 133243403131087. The reversal of 133243403131040 is 40131304342331.

It is a happy number.

It is a super-2 number, since 2×1332434031310402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 133243403130988 and 133243403131006.

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 15 ways as a sum of consecutive naturals, for example, 413997380 + ... + 414319100.

It is an arithmetic number, because the mean of its divisors is an integer number (3421644732576).

Almost surely, 2133243403131040 is an apocalyptic number.

133243403131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133243403131040 is an abundant number, since it is smaller than the sum of its proper divisors (195234491196256).

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

133243403131040 is a wasteful number, since it uses less digits than its factorization.

133243403131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434302 (or 434294 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 133243403131040 its reverse (40131304342331), we get a palindrome (173374707473371).

The spelling of 133243403131040 in words is "one hundred thirty-three trillion, two hundred forty-three billion, four hundred three million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 112543 225086 321721 450172 562715 643442 900344 1125430 1286884 1608605 1800688 2250860 2573768 2588489 3217210 3601376 4501720 5147536 5176978 6434420 7399583 9003440 10295072 10353956 12868840 12942445 14799166 18006880 20707912 25737680 25884890 29598332 36997915 41415824 51475360 51769780 59196664 73995830 82831648 103539560 118393328 147991660 207079120 236786656 295983320 414158240 591966640 1183933280 36207446503 72414893006 144829786012 181037232515 289659572024 362074465030 579319144048 724148930060 832771269569 1158638288096 1448297860120 1665542539138 2896595720240 3331085078276 4163856347845 5793191440480 6662170156552 8327712695690 13324340313104 16655425391380 26648680626208 33310850782760 66621701565520 133243403131040