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40000421400 = 23352383317393
BaseRepresentation
bin100101010000001101…
…011111111000011000
310211020200211221112220
4211100031133320120
51123410101441100
630213111504040
72614150654242
oct452015377030
9124220757486
1040000421400
1115a67216705
127904088020
133a0619c304
141d1667b092
151091a6baa0
hex95035fe18

40000421400 has 96 divisors (see below), whose sum is σ = 124040788560. Its totient is φ = 10663383040.

The previous prime is 40000421333. The next prime is 40000421431. The reversal of 40000421400 is 412400004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40000421400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2291104 + ... + 2308496.

Almost surely, 240000421400 is an apocalyptic number.

40000421400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40000421400 is an abundant number, since it is smaller than the sum of its proper divisors (84040367160).

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

40000421400 is a wasteful number, since it uses less digits than its factorization.

40000421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21245 (or 21236 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 40000421400 its reverse (412400004), we get a palindrome (40412821404).

The spelling of 40000421400 in words is "forty billion, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3833 7666 11499 15332 17393 19165 22998 30664 34786 38330 45996 52179 57495 69572 76660 86965 91992 95825 104358 114990 139144 153320 173930 191650 208716 229980 260895 287475 347860 383300 417432 434825 459960 521790 574950 695720 766600 869650 1043580 1149900 1304475 1739300 2087160 2299800 2608950 3478600 5217900 10435800 66667369 133334738 200002107 266669476 333336845 400004214 533338952 666673690 800008428 1000010535 1333347380 1600016856 1666684225 2000021070 2666694760 3333368450 4000042140 5000052675 6666736900 8000084280 10000105350 13333473800 20000210700 40000421400