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12400044401136 = 2437173883241589
BaseRepresentation
bin1011010001110001110000…
…1111011110000111110000
31121220102200102012021200210
42310130130033132013300
53111130242331314021
642212300213544120
72416605442221630
oct264343417360760
947812612167623
1012400044401136
113a50913883457
121483265945040
136bc41c2a5a92
1430c245a1c6c0
15167848689e76
hexb471c3de1f0

12400044401136 has 160 divisors (see below), whose sum is σ = 36863124180480. Its totient is φ = 3518387131392.

The previous prime is 12400044401099. The next prime is 12400044401149. The reversal of 12400044401136 is 63110444000421.

It is a super-2 number, since 2×124000444011362 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51206230 + ... + 51447818.

It is an arithmetic number, because the mean of its divisors is an integer number (230394526128).

Almost surely, 212400044401136 is an apocalyptic number.

12400044401136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12400044401136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18431562090240).

12400044401136 is an abundant number, since it is smaller than the sum of its proper divisors (24463079779344).

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

12400044401136 is a wasteful number, since it uses less digits than its factorization.

12400044401136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242663 (or 242657 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 12400044401136 its reverse (63110444000421), we get a palindrome (75510488401557).

The spelling of 12400044401136 in words is "twelve trillion, four hundred billion, forty-four million, four hundred one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 173 336 346 519 692 883 1038 1211 1384 1766 2076 2422 2649 2768 3532 3633 4152 4844 5298 6181 7064 7266 8304 9688 10596 12362 14128 14532 18543 19376 21192 24724 29064 37086 42384 49448 58128 74172 98896 148344 152759 241589 296688 305518 458277 483178 611036 724767 916554 966356 1069313 1222072 1449534 1691123 1833108 1932712 2138626 2444144 2899068 3207939 3382246 3666216 3865424 4277252 5073369 5798136 6415878 6764492 7332432 8554504 10146738 11596272 12831756 13528984 17109008 20293476 25663512 27057968 40586952 41794897 51327024 81173904 83589794 125384691 167179588 213323087 250769382 292564279 334359176 426646174 501538764 585128558 639969261 668718352 853292348 877692837 1003077528 1170257116 1279938522 1493261609 1706584696 1755385674 2006155056 2340514232 2559877044 2986523218 3413169392 3510771348 4479784827 4681028464 5119754088 5973046436 7021542696 8959569654 10239508176 11946092872 14043085392 17919139308 23892185744 35838278616 36904894051 71676557232 73809788102 110714682153 147619576204 221429364306 258334258357 295239152408 442858728612 516668516714 590478304816 775002775071 885717457224 1033337033428 1550005550142 1771434914448 2066674066856 3100011100284 4133348133712 6200022200568 12400044401136