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400010023410144 = 25373961915024433
BaseRepresentation
bin101101011110011101001011…
…1010110100001100111100000
31221110022120210022002002221120
41122330322113112201213200
5404412231011443111034
63534430022355252240
7150153525164335410
oct13274722726414740
91843276708062846
10400010023410144
11106501330a80034
1238a447575aa080
1314227a25043884
1470ac834942640
15313a2a30b2c49
hex16bce975a19e0

400010023410144 has 96 divisors (see below), whose sum is σ = 1200060439361280. Its totient is φ = 114285685819392.

The previous prime is 400010023410133. The next prime is 400010023410167. The reversal of 400010023410144 is 441014320010004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 19111752 + ... + 34136184.

It is an arithmetic number, because the mean of its divisors is an integer number (12500629576680).

Almost surely, 2400010023410144 is an apocalyptic number.

It is an amenable number.

400010023410144 is an abundant number, since it is smaller than the sum of its proper divisors (800050415951136).

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

400010023410144 is a wasteful number, since it uses less digits than its factorization.

400010023410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15064072 (or 15064064 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 400010023410144 its reverse (441014320010004), we get a palindrome (841024343420148).

The spelling of 400010023410144 in words is "four hundred trillion, ten billion, twenty-three million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 39619 79238 118857 158476 237714 277333 316952 475428 554666 633904 831999 950856 1109332 1267808 1663998 1901712 2218664 3327996 3803424 4437328 6655992 8874656 13311984 15024433 26623968 30048866 45073299 60097732 90146598 105171031 120195464 180293196 210342062 240390928 315513093 360586392 420684124 480781856 631026186 721172784 841368248 1262052372 1442345568 1682736496 2524104744 3365472992 5048209488 10096418976 595253011027 1190506022054 1785759033081 2381012044108 3571518066162 4166771077189 4762024088216 7143036132324 8333542154378 9524048176432 12500313231567 14286072264648 16667084308756 19048096352864 25000626463134 28572144529296 33334168617512 50001252926268 57144289058592 66668337235024 100002505852536 133336674470048 200005011705072 400010023410144