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104402445311000 = 2353971288737243
BaseRepresentation
bin10111101111010000010110…
…101010101001110000011000
3111200122202221220212021021202
4113233100112222221300120
5102141012201444423000
61010013453220253332
730663553630641104
oct2757202652516030
9450582856767252
10104402445311000
11302a1912680521
12b861a87841248
1346341540716a5
141bad168daa904
15c10b31b99dd5
hex5ef416aa9c18

104402445311000 has 128 divisors (see below), whose sum is σ = 244644597250560. Its totient is φ = 41702399856000.

The previous prime is 104402445310951. The next prime is 104402445311009. The reversal of 104402445311000 is 113544204401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104402445311009) by changing a digit.

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, 2803258379 + ... + 2803295621.

It is an arithmetic number, because the mean of its divisors is an integer number (1911285916020).

Almost surely, 2104402445311000 is an apocalyptic number.

104402445311000 is a gapful number since it is divisible by the number (10) 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 104402445311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122322298625280).

104402445311000 is an abundant number, since it is smaller than the sum of its proper divisors (140242151939560).

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

104402445311000 is a wasteful number, since it uses less digits than its factorization.

104402445311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41122 (or 41108 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 104402445311000 its reverse (113544204401), we get a palindrome (104515989515401).

The spelling of 104402445311000 in words is "one hundred four trillion, four hundred two billion, four hundred forty-five million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 971 1000 1942 2887 3884 4855 5774 7768 9710 11548 14435 19420 23096 24275 28870 37243 38840 48550 57740 72175 74486 97100 115480 121375 144350 148972 186215 194200 242750 288700 297944 360875 372430 485500 577400 721750 744860 931075 971000 1443500 1489720 1862150 2803277 2887000 3724300 4655375 5606554 7448600 9310750 11213108 14016385 18621500 22426216 28032770 36162953 37243000 56065540 70081925 72325906 107520541 112131080 140163850 144651812 180814765 215041082 280327700 289303624 350409625 361629530 430082164 537602705 560655400 700819250 723259060 860164328 904073825 1075205410 1401638500 1446518120 1808147650 2150410820 2688013525 2803277000 3616295300 4300821640 4520369125 5376027050 7232590600 9040738250 10752054100 13440067625 18081476500 21504108200 26880135250 36162953000 53760270500 104402445311 107520541000 208804890622 417609781244 522012226555 835219562488 1044024453110 2088048906220 2610061132775 4176097812440 5220122265550 10440244531100 13050305663875 20880489062200 26100611327750 52201222655500 104402445311000