Search a number
-
+
1408481483856 = 243318321154049
BaseRepresentation
bin10100011111110000000…
…010011101110001010000
311222122112111101211001120
4110133300002131301100
5141034032224440411
62555014130202240
7203521325035146
oct24376002356120
94878474354046
101408481483856
114a3374095687
121a8b81723380
13a2a85b1b185
144c256c09596
1526987a67106
hex147f009dc50

1408481483856 has 160 divisors (see below), whose sum is σ = 3819288883200. Its totient is φ = 446739148800.

The previous prime is 1408481483831. The next prime is 1408481483863. The reversal of 1408481483856 is 6583841848041.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1408481483856.

It is a congruent number.

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, 26032320 + ... + 26086368.

It is an arithmetic number, because the mean of its divisors is an integer number (23870555520).

Almost surely, 21408481483856 is an apocalyptic number.

1408481483856 is a gapful number since it is divisible by the number (16) 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 1408481483856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909644441600).

1408481483856 is an abundant number, since it is smaller than the sum of its proper divisors (2410807399344).

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

1408481483856 is a wasteful number, since it uses less digits than its factorization.

1408481483856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54385 (or 54379 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 60.

The spelling of 1408481483856 in words is "one trillion, four hundred eight billion, four hundred eighty-one million, four hundred eighty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 83 93 124 166 186 211 248 249 332 372 422 496 498 633 664 744 844 996 1266 1328 1488 1688 1992 2532 2573 3376 3984 5064 5146 6541 7719 10128 10292 13082 15438 17513 19623 20584 26164 30876 35026 39246 41168 52328 52539 54049 61752 70052 78492 104656 105078 108098 123504 140104 156984 162147 210156 216196 280208 313968 324294 420312 432392 542903 648588 840624 864784 1085806 1297176 1628709 1675519 2171612 2594352 3257418 3351038 4343224 4486067 5026557 6514836 6702076 8686448 8972134 10053114 11404339 13029672 13404152 13458201 17944268 20106228 22808678 26059344 26808304 26916402 34213017 35888536 40212456 45617356 53832804 68426034 71777072 80424912 91234712 107665608 136852068 139068077 182469424 215331216 273704136 278136154 353534509 417204231 547408272 556272308 707069018 834408462 946560137 1060603527 1112544616 1414138036 1668816924 1893120274 2121207054 2225089232 2828276072 2839680411 3337633848 3786240548 4242414108 5656552144 5679360822 6675267696 7572481096 8484828216 11358721644 15144962192 16969656432 22717443288 29343364247 45434886576 58686728494 88030092741 117373456988 176060185482 234746913976 352120370964 469493827952 704240741928 1408481483856