Search a number
-
+
1390313913920 = 26523199949253
BaseRepresentation
bin10100001110110101001…
…010101011111001000000
311220220122100220122021222
4110032311022223321000
5140234330330221140
62542411300134212
7202306163165021
oct24166512537100
94826570818258
101390313913920
114966a0a60478
121a5551397368
13a114bc796a9
144b41203cc48
1526272b0d5b5
hex143b52abe40

1390313913920 has 112 divisors (see below), whose sum is σ = 3471991430400. Its totient is φ = 529272539136.

The previous prime is 1390313913883. The next prime is 1390313913949. The reversal of 1390313913920 is 293193130931.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990014 + ... + 1939266.

Almost surely, 21390313913920 is an apocalyptic number.

1390313913920 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 1390313913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735995715200).

1390313913920 is an abundant number, since it is smaller than the sum of its proper divisors (2081677516480).

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

1390313913920 is a wasteful number, since it uses less digits than its factorization.

1390313913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949492 (or 949482 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 44.

The spelling of 1390313913920 in words is "one trillion, three hundred ninety billion, three hundred thirteen million, nine hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 199 230 320 368 398 460 736 796 920 995 1472 1592 1840 1990 3184 3680 3980 4577 6368 7360 7960 9154 12736 15920 18308 22885 31840 36616 45770 63680 73232 91540 146464 183080 292928 366160 732320 949253 1464640 1898506 3797012 4746265 7594024 9492530 15188048 18985060 21832819 30376096 37970120 43665638 60752192 75940240 87331276 109164095 151880480 174662552 188901347 218328190 303760960 349325104 377802694 436656380 698650208 755605388 873312760 944506735 1397300416 1511210776 1746625520 1889013470 3022421552 3493251040 3778026940 4344730981 6044843104 6986502080 7556053880 8689461962 12089686208 15112107760 17378923924 21723654905 30224215520 34757847848 43447309810 60448431040 69515695696 86894619620 139031391392 173789239240 278062782784 347578478480 695156956960 1390313913920