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1360415453440 = 28516719931981
BaseRepresentation
bin10011110010111111000…
…101000111000100000000
311211001110200200110221211
4103302333011013010000
5134242112324002230
62520544412255504
7200200235362531
oct23627705070400
94731420613854
101360415453440
11484a4906a5aa
1219b7a8471594
139b395946a64
1449bb72a6688
15255c2d9042a
hex13cbf147100

1360415453440 has 144 divisors (see below), whose sum is σ = 3294708883200. Its totient is φ = 538172743680.

The previous prime is 1360415453407. The next prime is 1360415453521. The reversal of 1360415453440 is 443545140631.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1360415453393 and 1360415453402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42522250 + ... + 42554230.

It is an arithmetic number, because the mean of its divisors is an integer number (22879922800).

Almost surely, 21360415453440 is an apocalyptic number.

1360415453440 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 1360415453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647354441600).

1360415453440 is an abundant number, since it is smaller than the sum of its proper divisors (1934293429760).

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

1360415453440 is a wasteful number, since it uses less digits than its factorization.

1360415453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32368 (or 32354 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 1360415453440 in words is "one trillion, three hundred sixty billion, four hundred fifteen million, four hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 167 199 256 320 334 398 640 668 796 835 995 1280 1336 1592 1670 1990 2672 3184 3340 3980 5344 6368 6680 7960 10688 12736 13360 15920 21376 25472 26720 31840 31981 33233 42752 50944 53440 63680 63962 66466 106880 127360 127924 132932 159905 166165 213760 254720 255848 265864 319810 332330 511696 531728 639620 664660 1023392 1063456 1279240 1329320 2046784 2126912 2558480 2658640 4093568 4253824 5116960 5317280 5340827 6364219 8187136 8507648 10233920 10634560 10681654 12728438 20467840 21269120 21363308 25456876 26704135 31821095 40935680 42538240 42726616 50913752 53408270 63642190 85453232 101827504 106816540 127284380 170906464 203655008 213633080 254568760 341812928 407310016 427266160 509137520 683625856 814620032 854532320 1018275040 1062824573 1367251712 1629240064 1709064640 2036550080 2125649146 3418129280 4073100160 4251298292 5314122865 6836258560 8146200320 8502596584 10628245730 17005193168 21256491460 34010386336 42512982920 68020772672 85025965840 136041545344 170051931680 272083090688 340103863360 680207726720 1360415453440