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40433013241000 = 23531271661919157
BaseRepresentation
bin10010011000110000010110…
…11001000011010010101000
312022011100200012201210020221
421030120023121003102220
520244423302342203000
6221554400404455424
711342121521624542
oct1114301331032250
9168140605653227
1040433013241000
11119795a9985016
1246502323aa574
131973a8063a223
149dad7ad78692
154a1b4ea4b61a
hex24c60b6434a8

40433013241000 has 128 divisors (see below), whose sum is σ = 95368953139200. Its totient is φ = 16044054163200.

The previous prime is 40433013240889. The next prime is 40433013241003. The reversal of 40433013241000 is 14231033404.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (40433013241003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2110603422 + ... + 2110622578.

It is an arithmetic number, because the mean of its divisors is an integer number (745069946400).

Almost surely, 240433013241000 is an apocalyptic number.

40433013241000 is a gapful number since it is divisible by the number (40) 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 40433013241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47684476569600).

40433013241000 is an abundant number, since it is smaller than the sum of its proper divisors (54935939898200).

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

40433013241000 is a wasteful number, since it uses less digits than its factorization.

40433013241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35924 (or 35910 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 40433013241000 its reverse (14231033404), we get a palindrome (40447244274404).

The spelling of 40433013241000 in words is "forty trillion, four hundred thirty-three billion, thirteen million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 500 508 635 1000 1016 1270 2540 3175 5080 6350 12700 15875 16619 19157 25400 31750 33238 38314 63500 66476 76628 83095 95785 127000 132952 153256 166190 191570 332380 383140 415475 478925 664760 766280 830950 957850 1661900 1915700 2077375 2110613 2394625 2432939 3323800 3831400 4154750 4221226 4789250 4865878 8309500 8442452 9578500 9731756 10553065 12164695 16619000 16884904 19157000 19463512 21106130 24329390 42212260 48658780 52765325 60823475 84424520 97317560 105530650 121646950 211061300 243293900 263826625 304117375 318370183 422122600 486587800 527653250 608234750 636740366 1055306500 1216469500 1273480732 1591850915 2110613000 2432939000 2546961464 3183701830 6367403660 7959254575 12734807320 15918509150 31837018300 39796272875 40433013241 63674036600 79592545750 80866026482 159185091500 161732052964 202165066205 318370183000 323464105928 404330132410 808660264820 1010825331025 1617320529640 2021650662050 4043301324100 5054126655125 8086602648200 10108253310250 20216506620500 40433013241000