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440008218972 = 2232711315451897
BaseRepresentation
bin1100110011100101000…
…10001001100101011100
31120001201221002110210200
412121302202021211130
524202114101001342
6534045331103500
743534546102560
oct6316242114534
91501657073720
10440008218972
1115a674194483
1271339a41b90
133265330a8aa
14174218ad6a0
15b6a3ea594c
hex667288995c

440008218972 has 72 divisors (see below), whose sum is σ = 1282383918816. Its totient is φ = 124604089344.

The previous prime is 440008218961. The next prime is 440008219019. The reversal of 440008218972 is 279812800044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7697473 + ... + 7754424.

Almost surely, 2440008218972 is an apocalyptic number.

440008218972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

440008218972 is an abundant number, since it is smaller than the sum of its proper divisors (842375699844).

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

440008218972 is a wasteful number, since it uses less digits than its factorization.

440008218972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15452027 (or 15452022 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 440008218972 in words is "four hundred forty billion, eight million, two hundred eighteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 3164 4068 4746 7119 9492 14238 28476 15451897 30903794 46355691 61807588 92711382 108163279 139067073 185422764 216326558 278134146 324489837 432653116 556268292 648979674 973469511 1297959348 1746064361 1946939022 3492128722 3893878044 5238193083 6984257444 10476386166 12222450527 15714579249 20952772332 24444901054 31429158498 36667351581 48889802108 62858316996 73334703162 110002054743 146669406324 220004109486 440008218972