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1394982144 = 28323119531
BaseRepresentation
bin101001100100101…
…1011110100000000
310121012220102202100
41103021123310000
510324103412034
6350231150400
746366103223
oct12311336400
93535812670
101394982144
11656481806
1232b215400
1319301282a
14d33a75ba
1582703099
hex5325bd00

1394982144 has 108 divisors (see below), whose sum is σ = 4152034432. Its totient is φ = 449971200.

The previous prime is 1394982119. The next prime is 1394982151. The reversal of 1394982144 is 4412894931.

1394982144 is a `hidden beast` number, since 13 + 9 + 498 + 2 + 144 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1394982144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61659 + ... + 81189.

Almost surely, 21394982144 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 1394982144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076017216).

1394982144 is an abundant number, since it is smaller than the sum of its proper divisors (2757052288).

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

1394982144 is a wasteful number, since it uses less digits than its factorization.

1394982144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19584 (or 19567 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1394982144 is about 37349.4597551290. The cubic root of 1394982144 is about 1117.3508135304.

The spelling of 1394982144 in words is "one billion, three hundred ninety-four million, nine hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1116 1152 1488 1984 2232 2304 2976 3968 4464 5952 7936 8928 11904 17856 19531 23808 35712 39062 58593 71424 78124 117186 156248 175779 234372 312496 351558 468744 605461 624992 703116 937488 1210922 1249984 1406232 1816383 1874976 2421844 2499968 2812464 3632766 3749952 4843688 4999936 5449149 5624928 7265532 7499904 9687376 10898298 11249856 14531064 14999808 19374752 21796596 22499712 29062128 38749504 43593192 44999424 58124256 77499008 87186384 116248512 154998016 174372768 232497024 348745536 464994048 697491072 1394982144