Search a number
-
+
12400445240040 = 23351113722636669
BaseRepresentation
bin1011010001110011010000…
…1000100011001011101000
31121220110201100110000022010
42310130310020203023220
53111132102440140130
642212404053155520
72416621410256314
oct264346410431350
947813640400263
1012400445240040
113a50aaa071680
12148335802bba0
136bc48434c170
1430c282d60b44
1516786d9670b0
hexb47342232e8

12400445240040 has 128 divisors (see below), whose sum is σ = 43705065801600. Its totient is φ = 2774924805120.

The previous prime is 12400445240033. The next prime is 12400445240047. The reversal of 12400445240040 is 4004254400421.

It is an interprime number because it is at equal distance from previous prime (12400445240033) and next prime (12400445240047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12400445240047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 361301175 + ... + 361335494.

It is an arithmetic number, because the mean of its divisors is an integer number (341445826575).

Almost surely, 212400445240040 is an apocalyptic number.

12400445240040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12400445240040 is an abundant number, since it is smaller than the sum of its proper divisors (31304620561560).

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

12400445240040 is a wasteful number, since it uses less digits than its factorization.

12400445240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722636707 (or 722636703 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 12400445240040 its reverse (4004254400421), we get a palindrome (16404699640461).

The spelling of 12400445240040 in words is "twelve trillion, four hundred billion, four hundred forty-five million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 722636669 1445273338 2167910007 2890546676 3613183345 4335820014 5781093352 7226366690 7949003359 8671640028 9394276697 10839550035 14452733380 15898006718 17343280056 18788553394 21679100070 23847010077 28182830091 28905466760 31796013436 37577106788 39745016795 43358200140 46971383485 47694020154 56365660182 63592026872 75154213576 79490033590 86716400280 93942766970 95388040308 103337043667 112731320364 119235050385 140914150455 158980067180 187885533940 190776080616 206674087334 225462640728 238470100770 281828300910 310011131001 317960134360 375771067880 413348174668 476940201540 516685218335 563656601820 620022262002 826696349336 953880403080 1033370436670 1127313203640 1240044524004 1550055655005 2066740873340 2480089048008 3100111310010 4133481746680 6200222620020 12400445240040