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1014211110240 = 25325739648127
BaseRepresentation
bin11101100001000111011…
…00010110010101100000
310120221212010010121212100
432300203230112111200
5113104101021011430
62053531103530400
7133163045124216
oct16604354262540
93527763117770
101014211110240
113611408053a9
121446892b9a00
1374841551a03
1437133994cb6
151b5ae19a960
hexec23b16560

1014211110240 has 144 divisors (see below), whose sum is σ = 3508406673408. Its totient is φ = 266751387648.

The previous prime is 1014211110217. The next prime is 1014211110251. The reversal of 1014211110240 is 420111124101.

1014211110240 is a `hidden beast` number, since 1 + 0 + 1 + 421 + 1 + 1 + 1 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10142111102402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4718944 + ... + 4929183.

It is an arithmetic number, because the mean of its divisors is an integer number (24363935232).

Almost surely, 21014211110240 is an apocalyptic number.

1014211110240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014211110240 is an abundant number, since it is smaller than the sum of its proper divisors (2494195563168).

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

1014211110240 is a wasteful number, since it uses less digits than its factorization.

1014211110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9648221 (or 9648210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1014211110240 its reverse (420111124101), we get a palindrome (1434322234341).

The spelling of 1014211110240 in words is "one trillion, fourteen billion, two hundred eleven million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 73 80 90 96 120 144 146 160 180 219 240 288 292 360 365 438 480 584 657 720 730 876 1095 1168 1314 1440 1460 1752 2190 2336 2628 2920 3285 3504 4380 5256 5840 6570 7008 8760 10512 11680 13140 17520 21024 26280 35040 52560 105120 9648127 19296254 28944381 38592508 48240635 57888762 77185016 86833143 96481270 115777524 144721905 154370032 173666286 192962540 231555048 289443810 308740064 347332572 385925080 434165715 463110096 578887620 694665144 704313271 771850160 868331430 926220192 1157775240 1389330288 1408626542 1543700320 1736662860 2112939813 2315550480 2778660576 2817253084 3473325720 3521566355 4225879626 4631100960 5634506168 6338819439 6946651440 7043132710 8451759252 10564699065 11269012336 12677638878 13893302880 14086265420 16903518504 21129398130 22538024672 25355277756 28172530840 31694097195 33807037008 42258796260 50710555512 56345061680 63388194390 67614074016 84517592520 101421111024 112690123360 126776388780 169035185040 202842222048 253552777560 338070370080 507105555120 1014211110240