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4350138440 = 2355989139149
BaseRepresentation
bin1000000110100100…
…11101100001001000
3102020011112221002112
410003102131201020
532402113412230
61555354321452
7212541365234
oct40322354110
912204487075
104350138440
1119325a343a
12a14a29288
1354432591b
142d3a595c4
151a6d89d95
hex10349d848

4350138440 has 128 divisors (see below), whose sum is σ = 10206000000. Its totient is φ = 1667905536.

The previous prime is 4350138421. The next prime is 4350138487. The reversal of 4350138440 is 448310534.

It is a junction number, because it is equal to n+sod(n) for n = 4350138397 and 4350138406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29195486 + ... + 29195634.

It is an arithmetic number, because the mean of its divisors is an integer number (79734375).

Almost surely, 24350138440 is an apocalyptic number.

4350138440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4350138440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103000000).

4350138440 is an abundant number, since it is smaller than the sum of its proper divisors (5855861560).

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

4350138440 is a wasteful number, since it uses less digits than its factorization.

4350138440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 4350138440 is about 65955.5792939460. The cubic root of 4350138440 is about 1632.4292181717.

Adding to 4350138440 its reverse (448310534), we get a palindrome (4798448974).

The spelling of 4350138440 in words is "four billion, three hundred fifty million, one hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 89 118 139 149 178 236 278 295 298 356 445 472 556 590 596 695 712 745 890 1112 1180 1192 1390 1490 1780 2360 2780 2980 3560 5251 5560 5960 8201 8791 10502 12371 13261 16402 17582 20711 21004 24742 26255 26522 32804 35164 41005 41422 42008 43955 49484 52510 53044 61855 65608 66305 70328 82010 82844 87910 98968 103555 105020 106088 123710 132610 164020 165688 175820 207110 210040 247420 265220 328040 351640 414220 494840 530440 729889 782399 828440 1221949 1459778 1564798 1843279 2443898 2919556 3129596 3649445 3686558 3911995 4887796 5839112 6109745 6259192 7298890 7373116 7823990 9216395 9775592 12219490 14597780 14746232 15647980 18432790 24438980 29195560 31295960 36865580 48877960 73731160 108753461 217506922 435013844 543767305 870027688 1087534610 2175069220 4350138440