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41400503640 = 23325353325783
BaseRepresentation
bin100110100011101010…
…011000110101011000
310221212021100111022200
4212203222120311120
51134242012104030
631004044250200
72663641321536
oct464352306530
9127767314280
1041400503640
1116615561171
128034b40960
133b9a279342
14200a5b1156
15112492ad60
hex9a3a98d58

41400503640 has 96 divisors (see below), whose sum is σ = 134933217120. Its totient is φ = 11008825344.

The previous prime is 41400503633. The next prime is 41400503653. The reversal of 41400503640 is 4630500414.

41400503640 is a `hidden beast` number, since 4 + 14 + 0 + 0 + 5 + 0 + 3 + 640 = 666.

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, 35812 + ... + 289971.

It is an arithmetic number, because the mean of its divisors is an integer number (1405554345).

Almost surely, 241400503640 is an apocalyptic number.

41400503640 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 41400503640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67466608560).

41400503640 is an abundant number, since it is smaller than the sum of its proper divisors (93532713480).

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

41400503640 is a wasteful number, since it uses less digits than its factorization.

41400503640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326153 (or 326146 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 41400503640 in words is "forty-one billion, four hundred million, five hundred three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 353 360 706 1059 1412 1765 2118 2824 3177 3530 4236 5295 6354 7060 8472 10590 12708 14120 15885 21180 25416 31770 42360 63540 127080 325783 651566 977349 1303132 1628915 1954698 2606264 2932047 3257830 3909396 4886745 5864094 6515660 7818792 9773490 11728188 13031320 14660235 19546980 23456376 29320470 39093960 58640940 115001399 117281880 230002798 345004197 460005596 575006995 690008394 920011192 1035012591 1150013990 1380016788 1725020985 2070025182 2300027980 2760033576 3450041970 4140050364 4600055960 5175062955 6900083940 8280100728 10350125910 13800167880 20700251820 41400503640