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40265537920 = 2753116312451
BaseRepresentation
bin100101100000000000…
…110101100110000000
310211221011201021001021
4211200000311212000
51124430434203140
630255302115224
72623550265556
oct454000654600
9124834637037
1040265537920
1116092934673
127978a1bb14
133a490a53aa
141d3d96dbd6
1510a9e89b4a
hex960035980

40265537920 has 128 divisors (see below), whose sum is σ = 99982586880. Its totient is φ = 15489792000.

The previous prime is 40265537911. The next prime is 40265537927. The reversal of 40265537920 is 2973556204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×402655379204 (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40265537927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3227695 + ... + 3240145.

It is an arithmetic number, because the mean of its divisors is an integer number (781113960).

Almost surely, 240265537920 is an apocalyptic number.

40265537920 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 40265537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49991293440).

40265537920 is an abundant number, since it is smaller than the sum of its proper divisors (59717048960).

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

40265537920 is a wasteful number, since it uses less digits than its factorization.

40265537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664 (or 12652 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 40265537920 in words is "forty billion, two hundred sixty-five million, five hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 163 248 310 320 326 496 620 640 652 815 992 1240 1304 1630 1984 2480 2608 3260 3968 4960 5053 5216 6520 9920 10106 10432 12451 13040 19840 20212 20864 24902 25265 26080 40424 49804 50530 52160 62255 80848 99608 101060 104320 124510 161696 199216 202120 249020 323392 385981 398432 404240 498040 646784 771962 796864 808480 996080 1543924 1593728 1616960 1929905 1992160 2029513 3087848 3233920 3859810 3984320 4059026 6175696 7719620 7968640 8118052 10147565 12351392 15439240 16236104 20295130 24702784 30878480 32472208 40590260 49405568 61756960 62914903 64944416 81180520 123513920 125829806 129888832 162361040 247027840 251659612 259777664 314574515 324722080 503319224 629149030 649444160 1006638448 1258298060 1298888320 2013276896 2516596120 4026553792 5033192240 8053107584 10066384480 20132768960 40265537920