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20440033442000 = 2453671217125339
BaseRepresentation
bin1001010010111000100001…
…11011101011100011010000
32200101001022002000102221122
410221130100323223203100
510134342142030121000
6111250004405541412
74206513040406144
oct451342073534320
980331262012848
1020440033442000
11657062a009997
1223614b9a14868
13b536438b31a3
14509435215224
15256a5b170085
hex129710eeb8d0

20440033442000 has 160 divisors (see below), whose sum is σ = 50203290533760. Its totient is φ = 8047301222400.

The previous prime is 20440033441981. The next prime is 20440033442093. The reversal of 20440033442000 is 24433004402.

It is a super-2 number, since 2×204400334420002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163015331 + ... + 163140669.

It is an arithmetic number, because the mean of its divisors is an integer number (313770565836).

Almost surely, 220440033442000 is an apocalyptic number.

20440033442000 is a gapful number since it is divisible by the number (20) 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 20440033442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25101645266880).

20440033442000 is an abundant number, since it is smaller than the sum of its proper divisors (29763257091760).

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

20440033442000 is a wasteful number, since it uses less digits than its factorization.

20440033442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126646 (or 126630 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 20440033442000 its reverse (24433004402), we get a palindrome (20464466446402).

The spelling of 20440033442000 in words is "twenty trillion, four hundred forty billion, thirty-three million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 670 1000 1072 1217 1340 1675 2000 2434 2680 3350 4868 5360 6085 6700 8375 9736 12170 13400 16750 19472 24340 26800 30425 33500 48680 60850 67000 81539 97360 121700 125339 134000 152125 163078 243400 250678 304250 326156 407695 486800 501356 608500 626695 652312 815390 1002712 1217000 1253390 1304624 1630780 2005424 2038475 2434000 2506780 3133475 3261560 4076950 5013560 6266950 6523120 8153900 8397713 10027120 10192375 12533900 15667375 16307800 16795426 20384750 25067800 31334750 32615600 33590852 40769500 41988565 50135600 62669500 67181704 81539000 83977130 125339000 134363408 152537563 163078000 167954260 209942825 250678000 305075126 335908520 419885650 610150252 671817040 762687815 839771300 1049714125 1220300504 1525375630 1679542600 2099428250 2440601008 3050751260 3359085200 3813439075 4198856500 6101502520 7626878150 8397713000 10220016721 12203005040 15253756300 16795426000 19067195375 20440033442 30507512600 38134390750 40880066884 51100083605 61015025200 76268781500 81760133768 102200167210 152537563000 163520267536 204400334420 255500418025 305075126000 408800668840 511000836050 817601337680 1022001672100 1277502090125 2044003344200 2555004180250 4088006688400 5110008360500 10220016721000 20440033442000