Search a number
-
+
14011920407472 = 2431341969177557
BaseRepresentation
bin1100101111100110011110…
…0010011101101110110000
31211121112012211021101200120
43023321213202131232300
53314032403111014342
645444553134450240
72644220310216111
oct313714742355660
954545184241616
1014011920407472
114512470864209
1216a372b963980
137a841a76b9b0
1436627568c208
1519473769aaec
hexcbe6789dbb0

14011920407472 has 160 divisors (see below), whose sum is σ = 39131969560320. Its totient is φ = 4294790691840.

The previous prime is 14011920407449. The next prime is 14011920407473. The reversal of 14011920407472 is 27470402911041.

It is not an unprimeable number, because it can be changed into a prime (14011920407473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180627318 + ... + 180704874.

It is an arithmetic number, because the mean of its divisors is an integer number (244574809752).

Almost surely, 214011920407472 is an apocalyptic number.

14011920407472 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 14011920407472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19565984780160).

14011920407472 is an abundant number, since it is smaller than the sum of its proper divisors (25120049152848).

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

14011920407472 is a wasteful number, since it uses less digits than its factorization.

14011920407472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78691 (or 78685 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 14011920407472 in words is "fourteen trillion, eleven billion, nine hundred twenty million, four hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 419 624 691 838 1257 1382 1676 2073 2514 2764 3352 4146 5028 5447 5528 6704 8292 8983 10056 10894 11056 16341 16584 17966 20112 21788 26949 32682 33168 35932 43576 53898 65364 71864 77557 87152 107796 130728 143728 155114 215592 232671 261456 289529 310228 431184 465342 579058 620456 868587 930684 1008241 1158116 1240912 1737174 1861368 2016482 2316232 3024723 3474348 3722736 3763877 4032964 4632464 6049446 6948696 7527754 8065928 11291631 12098892 13897392 15055508 16131856 22583262 24197784 30111016 32496383 45166524 48395568 53591887 60222032 64992766 90333048 97489149 107183774 129985532 160775661 180666096 194978298 214367548 259971064 321551322 389956596 422452979 428735096 519942128 643102644 696694531 779913192 844905958 857470192 1267358937 1286205288 1393389062 1559826384 1689811916 2090083593 2534717874 2572410576 2786778124 3379623832 4180167186 5069435748 5573556248 6759247664 8360334372 10138871496 11147112496 16720668744 20277742992 22455000653 33441337488 44910001306 67365001959 89820002612 134730003918 179640005224 269460007836 291915008489 359280010448 538920015672 583830016978 875745025467 1077840031344 1167660033956 1751490050934 2335320067912 3502980101868 4670640135824 7005960203736 14011920407472