Search a number
-
+
1446223668816 = 24383894078741
BaseRepresentation
bin10101000010111001101…
…001011110011001010000
312010020221210222110120210
4111002321221132121100
5142143331224400231
63024215212204120
7206325525232623
oct25027151363120
95106853873523
101446223668816
11508381615883
121b4355469640
13a64bc1a87b4
144ddd75a9dba
1527946211a46
hex150b9a5e650

1446223668816 has 80 divisors (see below), whose sum is σ = 3823575900480. Its totient is φ = 470915005440.

The previous prime is 1446223668787. The next prime is 1446223668821. The reversal of 1446223668816 is 6188663226441.

It is a super-2 number, since 2×14462236688162 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 1684795 + ... + 2393946.

It is an arithmetic number, because the mean of its divisors is an integer number (47794698756).

Almost surely, 21446223668816 is an apocalyptic number.

1446223668816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1446223668816 is an abundant number, since it is smaller than the sum of its proper divisors (2377352231664).

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

1446223668816 is a wasteful number, since it uses less digits than its factorization.

1446223668816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078924 (or 4078918 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 57.

The spelling of 1446223668816 in words is "one trillion, four hundred forty-six billion, two hundred twenty-three million, six hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 89 166 178 249 267 332 356 498 534 664 712 996 1068 1328 1424 1992 2136 3984 4272 7387 14774 22161 29548 44322 59096 88644 118192 177288 354576 4078741 8157482 12236223 16314964 24472446 32629928 48944892 65259856 97889784 195779568 338535503 363007949 677071006 726015898 1015606509 1089023847 1354142012 1452031796 2031213018 2178047694 2708284024 2904063592 4062426036 4356095388 5416568048 5808127184 8124852072 8712190776 16249704144 17424381552 30129659767 60259319534 90388979301 120518639068 180777958602 241037278136 361555917204 482074556272 723111834408 1446223668816