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4430203000040 = 2351017571448593
BaseRepresentation
bin100000001110111110010…
…1011010001010011101000
3120200112010110112110000002
41000131330223101103220
51040041023432000130
613231112425202132
7635033363113616
oct100357453212350
916615113473002
104430203000040
111458925109a24
125b672a030348
132619c689681c
141145cc8b06b6
157a38e22ab45
hex4077cad14e8

4430203000040 has 64 divisors (see below), whose sum is σ = 10079954433360. Its totient is φ = 1752216883200.

The previous prime is 4430203000037. The next prime is 4430203000051. The reversal of 4430203000040 is 400003020344.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4109953399204 + 320249600836 = 2027302^2 + 565906^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4430202999976 and 4430203000021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2333984 + ... + 3782576.

Almost surely, 24430203000040 is an apocalyptic number.

4430203000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4430203000040 is an abundant number, since it is smaller than the sum of its proper divisors (5649751433320).

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

4430203000040 is a wasteful number, since it uses less digits than its factorization.

4430203000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449462 (or 1449458 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 4430203000040 its reverse (400003020344), we get a palindrome (4830206020384).

The spelling of 4430203000040 in words is "four trillion, four hundred thirty billion, two hundred three million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 757 808 1010 1514 2020 3028 3785 4040 6056 7570 15140 30280 76457 152914 305828 382285 611656 764570 1448593 1529140 2897186 3058280 5794372 7242965 11588744 14485930 28971860 57943720 146307893 292615786 585231572 731539465 1096584901 1170463144 1463078930 2193169802 2926157860 4386339604 5482924505 5852315720 8772679208 10965849010 21931698020 43863396040 110755075001 221510150002 443020300004 553775375005 886040600008 1107550750010 2215101500020 4430203000040