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1408714081368 = 2331167569139969
BaseRepresentation
bin10100011111111101111…
…001110000010001011000
311222200010201001222212020
4110133331321300101120
5141040021301100433
62555053155414440
7203530151060046
oct24377571602130
94880121058766
101408714081368
114a3483412630
121a90275b4420
13a2ac2079839
144c279a75396
152699d1aecb3
hex147fde70458

1408714081368 has 128 divisors (see below), whose sum is σ = 3906170784000. Its totient is φ = 419769630720.

The previous prime is 1408714081343. The next prime is 1408714081393. The reversal of 1408714081368 is 8631804178041.

It is an interprime number because it is at equal distance from previous prime (1408714081343) and next prime (1408714081393).

It is a self number, because there is not a number n which added to its sum of digits gives 1408714081368.

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, 9994488 + ... + 10134456.

It is an arithmetic number, because the mean of its divisors is an integer number (30516959250).

Almost surely, 21408714081368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1408714081368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953085392000).

1408714081368 is an abundant number, since it is smaller than the sum of its proper divisors (2497456702632).

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

1408714081368 is a wasteful number, since it uses less digits than its factorization.

1408714081368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140625 (or 140621 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 1408714081368 in words is "one trillion, four hundred eight billion, seven hundred fourteen million, eighty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 569 737 804 1138 1474 1608 1707 2211 2276 2948 3414 4422 4552 5896 6259 6828 8844 12518 13656 17688 18777 25036 37554 38123 50072 75108 76246 114369 139969 150216 152492 228738 279938 304984 419353 419907 457476 559876 838706 839814 914952 1119752 1258059 1539659 1677412 1679628 2516118 3079318 3354824 3359256 4618977 5032236 6158636 9237954 9377923 10064472 12317272 18475908 18755846 28133769 36951816 37511692 56267538 75023384 79642361 103157153 112535076 159284722 206314306 225070152 238927083 309471459 318569444 412628612 477854166 618942918 637138888 825257224 876065971 955708332 1237885836 1752131942 1911416664 2475771672 2628197913 3504263884 5256395826 5336038187 7008527768 10512791652 10672076374 16008114561 21025583304 21344152748 32016229122 42688305496 58696420057 64032458244 117392840114 128064916488 176089260171 234785680228 352178520342 469571360456 704357040684 1408714081368