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1392666390304 = 257291039206341
BaseRepresentation
bin10100010001000001011…
…000101010111100100000
311221010201022111211012221
4110101001120222330200
5140304140043442204
62543440534000424
7202421366666530
oct24210130527440
94833638454187
101392666390304
11497698963832
121a5aa91a6114
13a1435466157
144b59664b4c0
152635e3e8654
hex1444162af20

1392666390304 has 96 divisors (see below), whose sum is σ = 3244686681600. Its totient is φ = 575718312960.

The previous prime is 1392666390301. The next prime is 1392666390319. The reversal of 1392666390304 is 4030936662931.

It is not an unprimeable number, because it can be changed into a prime (1392666390301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6646174 + ... + 6852514.

It is an arithmetic number, because the mean of its divisors is an integer number (33798819600).

Almost surely, 21392666390304 is an apocalyptic number.

1392666390304 is a gapful number since it is divisible by the number (14) 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 1392666390304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622343340800).

1392666390304 is an abundant number, since it is smaller than the sum of its proper divisors (1852020291296).

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

1392666390304 is a wasteful number, since it uses less digits than its factorization.

1392666390304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207426 (or 207418 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 52.

The spelling of 1392666390304 in words is "one trillion, three hundred ninety-two billion, six hundred sixty-six million, three hundred ninety thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1039 1624 2078 3248 4156 6496 7273 8312 14546 16624 29092 30131 33248 58184 60262 116368 120524 206341 210917 232736 241048 412682 421834 482096 825364 843668 964192 1444387 1650728 1687336 2888774 3301456 3374672 5777548 5983889 6602912 6749344 11555096 11967778 23110192 23935556 41887223 46220384 47871112 83774446 95742224 167548892 191484448 214388299 335097784 428776598 670195568 857553196 1340391136 1500718093 1715106392 3001436186 3430212784 6002872372 6217260671 6860425568 12005744744 12434521342 24011489488 24869042684 43520824697 48022978976 49738085368 87041649394 99476170736 174083298788 198952341472 348166597576 696333195152 1392666390304