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1386138312 = 2333131925981
BaseRepresentation
bin101001010011110…
…1100101011001000
310120121021010022000
41102213230223020
510314322411222
6345313431000
746230660366
oct12247545310
93517233260
101386138312
11651491259
1232826b460
131912372b0
14d2144636
1581a579ac
hex529ecac8

1386138312 has 128 divisors (see below), whose sum is σ = 4364976000. Its totient is φ = 404040960.

The previous prime is 1386138287. The next prime is 1386138329. The reversal of 1386138312 is 2138316831.

1386138312 is a `hidden beast` number, since 1 + 3 + 8 + 613 + 8 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40362 + ... + 66342.

It is an arithmetic number, because the mean of its divisors is an integer number (34101375).

Almost surely, 21386138312 is an apocalyptic number.

1386138312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1386138312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182488000).

1386138312 is an abundant number, since it is smaller than the sum of its proper divisors (2978837688).

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

1386138312 is a wasteful number, since it uses less digits than its factorization.

1386138312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26028 (or 26018 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1386138312 is about 37230.8784747285. The cubic root of 1386138312 is about 1114.9845660019.

The spelling of 1386138312 in words is "one billion, three hundred eighty-six million, one hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1976 2052 2223 2808 2964 4104 4446 5928 6669 8892 13338 17784 25981 26676 51962 53352 77943 103924 155886 207848 233829 311772 337753 467658 493639 623544 675506 701487 935316 987278 1013259 1351012 1402974 1480917 1870632 1974556 2026518 2702024 2805948 2961834 3039777 3949112 4053036 4442751 5611896 5923668 6079554 6417307 8106072 8885502 9119331 11847336 12159108 12834614 13328253 17771004 18238662 19251921 24318216 25669228 26656506 35542008 36477324 38503842 51338456 53313012 57755763 72954648 77007684 106626024 115511526 154015368 173267289 231023052 346534578 462046104 693069156 1386138312