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74343743440 = 2452989360053
BaseRepresentation
bin100010100111100111…
…0110111111111010000
321002220010212110200021
41011033032313333100
52204223444242230
654053020233224
75241210251461
oct1051716677720
9232803773607
1074343743440
112959011788a
12124a969b814
13701a341545
143853888d68
151e01b35c7a
hex114f3b7fd0

74343743440 has 80 divisors (see below), whose sum is σ = 180819118800. Its totient is φ = 28389380096.

The previous prime is 74343743429. The next prime is 74343743447. The reversal of 74343743440 is 4434734347.

It can be written as a sum of positive squares in 8 ways, for example, as 372798864 + 73970944576 = 19308^2 + 271976^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74343743447) 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, 26454 + ... + 386506.

It is an arithmetic number, because the mean of its divisors is an integer number (2260238985).

Almost surely, 274343743440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74343743440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90409559400).

74343743440 is an abundant number, since it is smaller than the sum of its proper divisors (106475375360).

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

74343743440 is a wasteful number, since it uses less digits than its factorization.

74343743440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360184 (or 360178 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 43.

The spelling of 74343743440 in words is "seventy-four billion, three hundred forty-three million, seven hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 89 116 145 178 232 290 356 445 464 580 712 890 1160 1424 1780 2320 2581 3560 5162 7120 10324 12905 20648 25810 41296 51620 103240 206480 360053 720106 1440212 1800265 2880424 3600530 5760848 7201060 10441537 14402120 20883074 28804240 32044717 41766148 52207685 64089434 83532296 104415370 128178868 160223585 167064592 208830740 256357736 320447170 417661480 512715472 640894340 835322960 929296793 1281788680 1858593586 2563577360 3717187172 4646483965 7434374344 9292967930 14868748688 18585935860 37171871720 74343743440