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4430842480344 = 233729909450427
BaseRepresentation
bin100000001111010001011…
…0010101100011011011000
3120200120210000211102001210
41000132202302230123120
51040043331133332334
613231300111343120
7635055256444650
oct100364262543330
916616700742053
104430842480344
111459123082a45
125b6888221aa0
13261a99206537
1411464d7b3360
157a3ca4465e9
hex407a2cac6d8

4430842480344 has 64 divisors (see below), whose sum is σ = 13096086163200. Its totient is φ = 1222301372544.

The previous prime is 4430842480331. The next prime is 4430842480357.

4430842480344 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4430842480331) and next prime (4430842480357).

It is a junction number, because it is equal to n+sod(n) for n = 4430842480293 and 4430842480302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454720342 + ... + 454730085.

It is an arithmetic number, because the mean of its divisors is an integer number (204626346300).

Almost surely, 24430842480344 is an apocalyptic number.

It is an amenable number.

4430842480344 is an abundant number, since it is smaller than the sum of its proper divisors (8665243682856).

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

4430842480344 is a wasteful number, since it uses less digits than its factorization.

4430842480344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909450472 (or 909450468 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 48.

The spelling of 4430842480344 in words is "four trillion, four hundred thirty billion, eight hundred forty-two million, four hundred eighty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 909450427 1818900854 2728351281 3637801708 5456702562 6366152989 7275603416 10913405124 12732305978 19098458967 21826810248 25464611956 26374062383 38196917934 50929223912 52748124766 76393835868 79122187149 105496249532 152787671736 158244374298 184618436681 210992499064 316488748596 369236873362 553855310043 632977497192 738473746724 1107710620086 1476947493448 2215421240172 4430842480344