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1144520214640 = 245113079422407
BaseRepresentation
bin10000101001111010101…
…110001000100001110000
311001102012120201000000021
4100221322232020201300
5122222434133332030
62233441344133224
7145455164210455
oct20517256104160
94042176630007
101144520214640
1140142a907210
12165995607214
1383c0a49134a
143d57612382c
151eb8921a97a
hex10a7ab88870

1144520214640 has 80 divisors (see below), whose sum is σ = 2903869140480. Its totient is φ = 416053013760.

The previous prime is 1144520214637. The next prime is 1144520214709. The reversal of 1144520214640 is 464120254411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1144520214596 and 1144520214605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2498317 + ... + 2920723.

It is an arithmetic number, because the mean of its divisors is an integer number (36298364256).

Almost surely, 21144520214640 is an apocalyptic number.

1144520214640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144520214640 is an abundant number, since it is smaller than the sum of its proper divisors (1759348925840).

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

1144520214640 is a wasteful number, since it uses less digits than its factorization.

1144520214640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425510 (or 425504 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 1144520214640 in words is "one trillion, one hundred forty-four billion, five hundred twenty million, two hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 3079 6158 12316 15395 24632 30790 33869 49264 61580 67738 123160 135476 169345 246320 270952 338690 422407 541904 677380 844814 1354760 1689628 2112035 2709520 3379256 4224070 4646477 6758512 8448140 9292954 16896280 18585908 23232385 33792560 37171816 46464770 74343632 92929540 185859080 371718160 1300591153 2601182306 5202364612 6502955765 10404729224 13005911530 14306502683 20809458448 26011823060 28613005366 52023646120 57226010732 71532513415 104047292240 114452021464 143065026830 228904042928 286130053660 572260107320 1144520214640