Search a number
-
+
463503552144040 = 235374116745739459
BaseRepresentation
bin110100101100011011101010…
…0100100111110001010101000
32020210010111200111010020101001
41221120313110210332022220
5441223020233322102130
64321442331535004344
7166426012052631562
oct15130672444761250
92223114614106331
10463503552144040
11124760830744301
1243b9a1159696b4
1316b8227496c785
148265997b50332
15388bbced156ca
hex1a58dd493e2a8

463503552144040 has 128 divisors (see below), whose sum is σ = 1103762693779200. Its totient is φ = 174936960645120.

The previous prime is 463503552144029. The next prime is 463503552144041. The reversal of 463503552144040 is 40441255305364.

It is not an unprimeable number, because it can be changed into a prime (463503552144041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12736170 + ... + 33003289.

It is an arithmetic number, because the mean of its divisors is an integer number (8623146045150).

Almost surely, 2463503552144040 is an apocalyptic number.

463503552144040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463503552144040 is an abundant number, since it is smaller than the sum of its proper divisors (640259141635160).

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

463503552144040 is a wasteful number, since it uses less digits than its factorization.

463503552144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45739715 (or 45739711 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 46.

The spelling of 463503552144040 in words is "four hundred sixty-three trillion, five hundred three billion, five hundred fifty-two million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 41 74 82 148 164 167 185 205 296 328 334 370 410 668 740 820 835 1336 1480 1517 1640 1670 3034 3340 6068 6179 6680 6847 7585 12136 12358 13694 15170 24716 27388 30340 30895 34235 49432 54776 60680 61790 68470 123580 136940 247160 253339 273880 506678 1013356 1266695 2026712 2533390 5066780 10133560 45739459 91478918 182957836 228697295 365915672 457394590 914789180 1692359983 1829578360 1875317819 3384719966 3750635638 6769439932 7501271276 7638489653 8461799915 9376589095 13538879864 15002542552 15276979306 16923599830 18753178190 30553958612 33847199660 37506356380 38192448265 61107917224 67694399320 69386759303 75012712760 76384896530 138773518606 152769793060 277547037212 282624117161 305539586120 313178075773 346933796515 555094074424 565248234322 626356151546 693867593030 1130496468644 1252712303092 1387735186060 1413120585805 1565890378865 2260992937288 2505424606184 2775470372120 2826241171610 3131780757730 5652482343220 6263561515460 11304964686440 11587588803601 12527123030920 23175177607202 46350355214404 57937944018005 92700710428808 115875888036010 231751776072020 463503552144040