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41024221400 = 23522331328493
BaseRepresentation
bin100110001101001110…
…111111000011011000
310220220001022101010102
4212031032333003120
51133004200041100
630502443234532
72651422062011
oct461516770330
9126801271112
1041024221400
1116442115808
127b4ab18a48
133b3a320426
141db2622008
15110189ecd5
hex98d3bf0d8

41024221400 has 96 divisors (see below), whose sum is σ = 99849814560. Its totient is φ = 15645527040.

The previous prime is 41024221307. The next prime is 41024221429. The reversal of 41024221400 is 412242014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1425554 + ... + 1454046.

It is an arithmetic number, because the mean of its divisors is an integer number (1040102235).

Almost surely, 241024221400 is an apocalyptic number.

41024221400 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 41024221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49924907280).

41024221400 is an abundant number, since it is smaller than the sum of its proper divisors (58825593160).

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

41024221400 is a wasteful number, since it uses less digits than its factorization.

41024221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28845 (or 28836 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 41024221400 its reverse (412242014), we get a palindrome (41436463414).

The spelling of 41024221400 in words is "forty-one billion, twenty-four million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 313 460 575 626 920 1150 1252 1565 2300 2504 3130 4600 6260 7199 7825 12520 14398 15650 28493 28796 31300 35995 56986 57592 62600 71990 113972 142465 143980 179975 227944 284930 287960 359950 569860 655339 712325 719900 1139720 1310678 1424650 1439800 2621356 2849300 3276695 5242712 5698600 6553390 8918309 13106780 16383475 17836618 26213560 32766950 35673236 44591545 65533900 71346472 89183090 131067800 178366180 205121107 222957725 356732360 410242214 445915450 820484428 891830900 1025605535 1640968856 1783661800 2051211070 4102422140 5128027675 8204844280 10256055350 20512110700 41024221400