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1441340344440 = 23345736093947
BaseRepresentation
bin10100111110010110100…
…101000100100001111000
312002210100111010212220000
4110332112211010201320
5142103331112010230
63022050445433000
7206063520532413
oct24762645044170
95083314125800
101441340344440
115062a6059a07
121b3411b6b760
13a5bc157b949
144da92bdab7a
152775c655b60
hex14f96944878

1441340344440 has 160 divisors (see below), whose sum is σ = 4910868935280. Its totient is φ = 379092192768.

The previous prime is 1441340344403. The next prime is 1441340344487. The reversal of 1441340344440 is 444430431441.

1441340344440 is a `hidden beast` number, since 1 + 44 + 134 + 0 + 3 + 44 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1441340344395 and 1441340344404.

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 39 ways as a sum of consecutive naturals, for example, 2810454 + ... + 3283493.

Almost surely, 21441340344440 is an apocalyptic number.

1441340344440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1441340344440 is an abundant number, since it is smaller than the sum of its proper divisors (3469528590840).

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

1441340344440 is a wasteful number, since it uses less digits than its factorization.

1441340344440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094043 (or 6094030 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 1441340344440 its reverse (444430431441), we get a palindrome (1885770775881).

The spelling of 1441340344440 in words is "one trillion, four hundred forty-one billion, three hundred forty million, three hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 73 81 90 108 120 135 146 162 180 216 219 270 292 324 360 365 405 438 540 584 648 657 730 810 876 1080 1095 1314 1460 1620 1752 1971 2190 2628 2920 3240 3285 3942 4380 5256 5913 6570 7884 8760 9855 11826 13140 15768 19710 23652 26280 29565 39420 47304 59130 78840 118260 236520 6093947 12187894 18281841 24375788 30469735 36563682 48751576 54845523 60939470 73127364 91409205 109691046 121878940 146254728 164536569 182818410 219382092 243757880 274227615 329073138 365636820 438764184 444858131 493609707 548455230 658146276 731273640 822682845 889716262 987219414 1096910460 1316292552 1334574393 1645365690 1779432524 1974438828 2193820920 2224290655 2468048535 2669148786 3290731380 3558865048 3948877656 4003723179 4448581310 4936097070 5338297572 6581462760 6672871965 8007446358 8897162620 9872194140 10676595144 12011169537 13345743930 16014892716 17794325240 19744388280 20018615895 24022339074 26691487860 32029785432 36033508611 40037231790 48044678148 53382975720 60055847685 72067017222 80074463580 96089356296 120111695370 144134034444 160148927160 180167543055 240223390740 288268068888 360335086110 480446781480 720670172220 1441340344440