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10140044633046 = 23219611672910499
BaseRepresentation
bin1001001110001110100111…
…0000100010001111010110
31022220101020010220201121100
42103203221300202033112
52312113302411224141
633322134443330530
72064410521156146
oct223435160421726
938811203821540
1010140044633046
11325a406932679
121179260520a46
13587282046ab3
14270ad0658926
15128b74a2e0b6
hex938e9c223d6

10140044633046 has 96 divisors (see below), whose sum is σ = 23646299040000. Its totient is φ = 3130764488640.

The previous prime is 10140044633029. The next prime is 10140044633063. The reversal of 10140044633046 is 64033644004101.

10140044633046 is a `hidden beast` number, since 1 + 0 + 14 + 0 + 0 + 4 + 4 + 633 + 0 + 4 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10140044633029) and next prime (10140044633063).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10140044633046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2028705 + ... + 4939203.

It is an arithmetic number, because the mean of its divisors is an integer number (246315615000).

Almost surely, 210140044633046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140044633046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11823149520000).

10140044633046 is an abundant number, since it is smaller than the sum of its proper divisors (13506254406954).

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

10140044633046 is a wasteful number, since it uses less digits than its factorization.

10140044633046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910754 (or 2910751 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 10140044633046 its reverse (64033644004101), we get a palindrome (74173688637147).

The spelling of 10140044633046 in words is "ten trillion, one hundred forty billion, forty-four million, six hundred thirty-three thousand, forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 61 114 122 167 171 183 334 342 366 501 549 1002 1098 1159 1503 2318 3006 3173 3477 6346 6954 9519 10187 10431 19038 20374 20862 28557 30561 57114 61122 91683 183366 193553 387106 580659 1161318 1741977 2910499 3483954 5820998 8731497 17462994 26194491 52388982 55299481 110598962 165898443 177540439 331796886 355080878 486053333 497695329 532621317 972106666 995390658 1065242634 1458159999 1597863951 2916319998 3195727902 3373268341 4374479997 6746536682 8748959994 9235013327 10119805023 18470026654 20239610046 27705039981 29649253313 30359415069 55410079962 59298506626 60718830138 83115119943 88947759939 166230239886 177895519878 266843279817 533686559634 563335812947 1126671625894 1690007438841 3380014877682 5070022316523 10140044633046