Search a number
-
+
40632513144003 = 321123371297371851
BaseRepresentation
bin10010011110100011111101…
…00000110010010011000011
312022212102121200222220122100
421033101332200302103003
520311210341331102003
6222230152512041443
711362413361052034
oct1117217640622303
9168772550886570
1040632513144003
1111a46174422a10
124682a2a533283
13198982516c101
14a068a487aa8b
154a6e29138ba3
hex24f47e8324c3

40632513144003 has 96 divisors (see below), whose sum is σ = 68669557811712. Its totient is φ = 22900724352000.

The previous prime is 40632513143947. The next prime is 40632513144023. The reversal of 40632513144003 is 30044131523604.

40632513144003 is a `hidden beast` number, since 4 + 0 + 63 + 25 + 131 + 440 + 0 + 3 = 666.

It is not a de Polignac number, because 40632513144003 - 210 = 40632513142979 is a prime.

It is a super-2 number, since 2×406325131440032 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40632513144023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109085028 + ... + 109456878.

It is an arithmetic number, because the mean of its divisors is an integer number (715307893872).

Almost surely, 240632513144003 is an apocalyptic number.

40632513144003 is a deficient number, since it is larger than the sum of its proper divisors (28037044667709).

40632513144003 is a wasteful number, since it uses less digits than its factorization.

40632513144003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373225 (or 373222 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 40632513144003 its reverse (30044131523604), we get a palindrome (70676644667607).

The spelling of 40632513144003 in words is "forty trillion, six hundred thirty-two billion, five hundred thirteen million, one hundred forty-four thousand, three".

Divisors: 1 3 9 11 23 33 37 69 99 111 207 253 333 407 759 851 1221 1297 2277 2553 3663 3891 7659 9361 11673 14267 28083 29831 42801 47989 84249 89493 128403 143967 268479 328141 371851 431901 527879 984423 1103747 1115553 1583637 2953269 3311241 3346659 4090361 4750911 8552573 9933723 12141217 12271083 13758487 25657719 36423651 36813249 41275461 76973157 94078303 109270953 123826383 151343357 282234909 316445201 454030071 482290747 846704727 949335603 1362090213 1446872241 2848006809 3480897211 4340616723 5305198217 10442691633 11092687181 15915594651 17844757639 31328074899 33278061543 47746783953 53534272917 99834184629 122019558991 160602818751 196292334029 366058676973 410429425697 588877002087 1098176030919 1231288277091 1766631006261 3693864831273 4514723682667 13544171048001 40632513144003