Search a number
-
+
104406733703400 = 233521391251879301
BaseRepresentation
bin10111101111010100010110…
…010001100100100011101000
3111200200012000210020011201220
4113233110112101210203220
5102141044442312002100
61010015442531342040
730664065122450622
oct2757242621444350
9450605023204656
10104406733703400
11302a3713330177
12b862883a51920
13463468865869b
141bad454751c12
15c10cd33d9aa0
hex5ef5164648e8

104406733703400 has 96 divisors (see below), whose sum is σ = 325989370240800. Its totient is φ = 27641494944000.

The previous prime is 104406733703399. The next prime is 104406733703479. The reversal of 104406733703400 is 4307337604401.

It is a super-2 number, since 2×1044067337034002 (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 625856251 + ... + 626023050.

It is an arithmetic number, because the mean of its divisors is an integer number (3395722606675).

Almost surely, 2104406733703400 is an apocalyptic number.

104406733703400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104406733703400 is an abundant number, since it is smaller than the sum of its proper divisors (221582636537400).

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

104406733703400 is a wasteful number, since it uses less digits than its factorization.

104406733703400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251879459 (or 1251879450 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 104406733703400 in words is "one hundred four trillion, four hundred six billion, seven hundred thirty-three million, seven hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 139 150 200 278 300 417 556 600 695 834 1112 1390 1668 2085 2780 3336 3475 4170 5560 6950 8340 10425 13900 16680 20850 27800 41700 83400 1251879301 2503758602 3755637903 5007517204 6259396505 7511275806 10015034408 12518793010 15022551612 18778189515 25037586020 30045103224 31296982525 37556379030 50075172040 62593965050 75112758060 93890947575 125187930100 150225516120 174011222839 187781895150 250375860200 348022445678 375563790300 522033668517 696044891356 751127580600 870056114195 1044067337034 1392089782712 1740112228390 2088134674068 2610168342585 3480224456780 4176269348136 4350280570975 5220336685170 6960448913560 8700561141950 10440673370340 13050841712925 17401122283900 20881346740680 26101683425850 34802244567800 52203366851700 104406733703400