Search a number
-
+
1380055651440 = 243531359516689
BaseRepresentation
bin10100000101010001101…
…110100001010001110000
311212221011110011220122120
4110011101232201101300
5140102323221321230
62533553330034240
7201464031326154
oct24052156412160
94787143156576
101380055651440
11492307489aa4
121a3569a18980
13a01a5915aab
144ab1b88d064
1525d72238310
hex14151ba1470

1380055651440 has 160 divisors (see below), whose sum is σ = 4428487987200. Its totient is φ = 355150663680.

The previous prime is 1380055651439. The next prime is 1380055651459. The reversal of 1380055651440 is 441565500831.

It is a junction number, because it is equal to n+sod(n) for n = 1380055651392 and 1380055651401.

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, 2412616 + ... + 2929304.

It is an arithmetic number, because the mean of its divisors is an integer number (27678049920).

Almost surely, 21380055651440 is an apocalyptic number.

1380055651440 is a gapful number since it is divisible by the number (10) 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 1380055651440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214243993600).

1380055651440 is an abundant number, since it is smaller than the sum of its proper divisors (3048432335760).

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

1380055651440 is a wasteful number, since it uses less digits than its factorization.

1380055651440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517095 (or 517089 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 1380055651440 in words is "one trillion, three hundred eighty billion, fifty-five million, six hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 359 372 465 496 620 718 744 930 1077 1240 1436 1488 1795 1860 2154 2480 2872 3590 3720 4308 5385 5744 7180 7440 8616 10770 11129 14360 17232 21540 22258 28720 33387 43080 44516 55645 66774 86160 89032 111290 133548 166935 178064 222580 267096 333870 445160 516689 534192 667740 890320 1033378 1335480 1550067 2066756 2583445 2670960 3100134 4133512 5166890 6200268 7750335 8267024 10333780 12400536 15500670 16017359 20667560 24801072 31001340 32034718 41335120 48052077 62002680 64069436 80086795 96104154 124005360 128138872 160173590 185491351 192208308 240260385 256277744 320347180 370982702 384416616 480520770 556474053 640694360 741965404 768833232 927456755 961041540 1112948106 1281388720 1483930808 1854913510 1922083080 2225896212 2782370265 2967861616 3709827020 3844166160 4451792424 5564740530 5750231881 7419654040 8903584848 11129481060 11500463762 14839308080 17250695643 22258962120 23000927524 28751159405 34501391286 44517924240 46001855048 57502318810 69002782572 86253478215 92003710096 115004637620 138005565144 172506956430 230009275240 276011130288 345013912860 460018550480 690027825720 1380055651440