Search a number
-
+
1398997031520 = 253511264961559
BaseRepresentation
bin10100010110111010101…
…110001001101001100000
311221202001111201201101010
4110112322232021221200
5140410121220002040
62550405041340520
7203034310363464
oct24267256115140
94852044651333
101398997031520
1149a347397220
121a7175337740
13a1c03b9a7ba
144b9d73284a4
15265d0093e80
hex145bab89a60

1398997031520 has 96 divisors (see below), whose sum is σ = 4807462544640. Its totient is φ = 339150794240.

The previous prime is 1398997031513. The next prime is 1398997031569. The reversal of 1398997031520 is 251307998931.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 132475500 + ... + 132486059.

It is an arithmetic number, because the mean of its divisors is an integer number (50077734840).

Almost surely, 21398997031520 is an apocalyptic number.

1398997031520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1398997031520 is an abundant number, since it is smaller than the sum of its proper divisors (3408465513120).

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

1398997031520 is a wasteful number, since it uses less digits than its factorization.

1398997031520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264961588 (or 264961580 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 57.

The spelling of 1398997031520 in words is "one trillion, three hundred ninety-eight billion, nine hundred ninety-seven million, thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 264961559 529923118 794884677 1059846236 1324807795 1589769354 2119692472 2649615590 2914577149 3179538708 3974423385 4239384944 5299231180 5829154298 6359077416 7948846770 8478769888 8743731447 10598462360 11658308596 12718154832 14572885745 15897693540 17487462894 21196924720 23316617192 25436309664 29145771490 31795387080 34974925788 42393849440 43718657235 46633234384 58291542980 63590774160 69949851576 87437314470 93266468768 116583085960 127181548320 139899703152 174874628940 233166171920 279799406304 349749257880 466332343840 699498515760 1398997031520