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1385862144 = 21034091103
BaseRepresentation
bin101001010011010…
…1001010000000000
310120120202002110120
41102212221100000
510314240042034
6345303500240
746225430262
oct12246512000
93516662416
101385862144
11651312817
12328157680
1319116b694
14d20b1b32
1581a00c49
hex529a9400

1385862144 has 88 divisors (see below), whose sum is σ = 3706216320. Its totient is φ = 460406784.

The previous prime is 1385862119. The next prime is 1385862173. The reversal of 1385862144 is 4412685831.

It is a happy number.

It is a super-2 number, since 2×13858621442 = 3841227764344553472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1385862096 and 1385862105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1255897 + ... + 1256999.

Almost surely, 21385862144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853108160).

1385862144 is an abundant number, since it is smaller than the sum of its proper divisors (2320354176).

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

1385862144 is a wasteful number, since it uses less digits than its factorization.

1385862144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1517 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 1385862144 is about 37227.1694330901. The cubic root of 1385862144 is about 1114.9105129037.

The spelling of 1385862144 in words is "one billion, three hundred eighty-five million, eight hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 409 512 768 818 1024 1103 1227 1536 1636 2206 2454 3072 3272 3309 4412 4908 6544 6618 8824 9816 13088 13236 17648 19632 26176 26472 35296 39264 52352 52944 70592 78528 104704 105888 141184 157056 209408 211776 282368 314112 418816 423552 451127 564736 628224 847104 902254 1129472 1256448 1353381 1694208 1804508 2706762 3388416 3609016 5413524 7218032 10827048 14436064 21654096 28872128 43308192 57744256 86616384 115488512 173232768 230977024 346465536 461954048 692931072 1385862144