Search a number
-
+
4010884042000 = 245311216573901
BaseRepresentation
bin111010010111011011010…
…100011000110100010000
3112012102210101221022200211
4322113123110120310100
51011203242303321000
612310324044453504
7562530305561023
oct72273324306420
915172711838624
104010884042000
111307008529500
12549404b4a294
132312bc9b2b84
14dc1b0a671ba
156e4eb7917ba
hex3a5db518d10

4010884042000 has 120 divisors (see below), whose sum is σ = 10660134879576. Its totient is φ = 1458503200000.

The previous prime is 4010884041929. The next prime is 4010884042007. The reversal of 4010884042000 is 2404880104.

It can be written as a sum of positive squares in 4 ways, for example, as 455155321104 + 3555728720896 = 674652^2 + 1885664^2 .

It is not an unprimeable number, because it can be changed into a prime (4010884042007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8044951 + ... + 8528950.

Almost surely, 24010884042000 is an apocalyptic number.

4010884042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4010884042000 is an abundant number, since it is smaller than the sum of its proper divisors (6649250837576).

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

4010884042000 is a wasteful number, since it uses less digits than its factorization.

4010884042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16573946 (or 16573919 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The spelling of 4010884042000 in words is "four trillion, ten billion, eight hundred eighty-four million, forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1375 1936 2000 2200 2420 2750 3025 4400 4840 5500 6050 9680 11000 12100 15125 22000 24200 30250 48400 60500 121000 242000 16573901 33147802 66295604 82869505 132591208 165739010 182312911 265182416 331478020 364625822 414347525 662956040 729251644 828695050 911564555 1325912080 1458503288 1657390100 1823129110 2005442021 2071737625 2917006576 3314780200 3646258220 4010884042 4143475250 4557822775 6629560400 7292516440 8021768084 8286950500 9115645550 10027210105 14585032880 16043536168 16573901000 18231291100 20054420210 22789113875 32087072336 33147802000 36462582200 40108840420 45578227750 50136050525 72925164400 80217680840 91156455500 100272101050 160435361680 182312911000 200544202100 250680252625 364625822000 401088404200 501360505250 802176808400 1002721010500 2005442021000 4010884042000