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40751505040 = 24510337913049
BaseRepresentation
bin100101111100111110…
…101001111010010000
310220012001010221121111
4211330332221322100
51131424341130130
630415422103104
72641601035411
oct457476517220
9126161127544
1040751505040
1116312186994
127a9371aa94
133ac59860bc
141d88311808
1510d798002a
hex97cfa9e90

40751505040 has 80 divisors (see below), whose sum is σ = 95926896000. Its totient is φ = 16098518016.

The previous prime is 40751505029. The next prime is 40751505043. The reversal of 40751505040 is 4050515704.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 40751504993 and 40751505011.

It is not an unprimeable number, because it can be changed into a prime (40751505043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3116436 + ... + 3129484.

It is an arithmetic number, because the mean of its divisors is an integer number (1199086200).

Almost surely, 240751505040 is an apocalyptic number.

40751505040 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 40751505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47963448000).

40751505040 is an abundant number, since it is smaller than the sum of its proper divisors (55175390960).

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

40751505040 is a wasteful number, since it uses less digits than its factorization.

40751505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13544 (or 13538 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 31.

The spelling of 40751505040 in words is "forty billion, seven hundred fifty-one million, five hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 379 412 515 758 824 1030 1516 1648 1895 2060 3032 3790 4120 6064 7580 8240 13049 15160 26098 30320 39037 52196 65245 78074 104392 130490 156148 195185 208784 260980 312296 390370 521960 624592 780740 1043920 1344047 1561480 2688094 3122960 4945571 5376188 6720235 9891142 10752376 13440470 19782284 21504752 24727855 26880940 39564568 49455710 53761880 79129136 98911420 107523760 197822840 395645680 509393813 1018787626 2037575252 2546969065 4075150504 5093938130 8150301008 10187876260 20375752520 40751505040