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442516624340 = 225723313565807
BaseRepresentation
bin1100111000010000000…
…10111101001111010100
31120022012202002200002012
412130020002331033110
524222233223434330
6535142255003352
743653655150010
oct6341002751724
91508182080065
10442516624340
1116074110956a
1271919b09558
1332962bc0b1b
14175bcaab540
15b79e2e1c95
hex67080bd3d4

442516624340 has 48 divisors (see below), whose sum is σ = 1066598088192. Its totient is φ = 151068815616.

The previous prime is 442516624337. The next prime is 442516624393. The reversal of 442516624340 is 43426615244.

It is a congruent number.

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, 6750284 + ... + 6815523.

It is an arithmetic number, because the mean of its divisors is an integer number (22220793504).

Almost surely, 2442516624340 is an apocalyptic number.

It is an amenable number.

442516624340 is an abundant number, since it is smaller than the sum of its proper divisors (624081463852).

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

442516624340 is a wasteful number, since it uses less digits than its factorization.

442516624340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13566056 (or 13566054 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 41.

The spelling of 442516624340 in words is "four hundred forty-two billion, five hundred sixteen million, six hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 233 466 932 1165 1631 2330 3262 4660 6524 8155 16310 32620 13565807 27131614 54263228 67829035 94960649 135658070 189921298 271316140 379842596 474803245 949606490 1899212980 3160833031 6321666062 12643332124 15804165155 22125831217 31608330310 44251662434 63216660620 88503324868 110629156085 221258312170 442516624340