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1378446437100 = 2235231148220047
BaseRepresentation
bin10100000011110001110…
…011110110101011101100
311212210000022011100120110
4110003301303312223230
5140041024241441400
62533125523020020
7201406121251155
oct24036163665354
94783008140513
101378446437100
11491661094497
121a319ab0a610
139ccaa404c65
144aa07c7a92c
1525ccad18e50
hex140f1cf6aec

1378446437100 has 72 divisors (see below), whose sum is σ = 4116960053248. Its totient is φ = 355728110400.

The previous prime is 1378446437099. The next prime is 1378446437111. The reversal of 1378446437100 is 17346448731.

It is a super-2 number, since 2×13784464371002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1378446437100.

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, 74100724 + ... + 74119323.

Almost surely, 21378446437100 is an apocalyptic number.

1378446437100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1378446437100 is an abundant number, since it is smaller than the sum of its proper divisors (2738513616148).

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

1378446437100 is a wasteful number, since it uses less digits than its factorization.

1378446437100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148220095 (or 148220088 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 1378446437100 in words is "one trillion, three hundred seventy-eight billion, four hundred forty-six million, four hundred thirty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 148220047 296440094 444660141 592880188 741100235 889320282 1482200470 1778640564 2223300705 2964400940 3705501175 4446601410 4594821457 7411002350 8893202820 9189642914 11116503525 13784464371 14822004700 18379285828 22233007050 22974107285 27568928742 44466014100 45948214570 55137857484 68922321855 91896429140 114870536425 137844643710 229741072850 275689287420 344611609275 459482145700 689223218550 1378446437100