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744221216740 = 22561785770373
BaseRepresentation
bin10101101010001110000…
…10101000111111100100
32122010222001111222000011
422311013002220333210
544143131112413430
61325520203300004
7104524331652451
oct12650702507744
92563861458004
10744221216740
11267693525311
1210029a21a604
1355244c16391
142804036c828
151455b46022a
hexad470a8fe4

744221216740 has 48 divisors (see below), whose sum is σ = 1567246432752. Its totient is φ = 296854992896.

The previous prime is 744221216671. The next prime is 744221216741. The reversal of 744221216740 is 47612122447.

744221216740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 162299402496 + 581921814244 = 402864^2 + 762838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 744221216693 and 744221216702.

It is not an unprimeable number, because it can be changed into a prime (744221216741) 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, 10540194 + ... + 10610566.

It is an arithmetic number, because the mean of its divisors is an integer number (32650967349).

Almost surely, 2744221216740 is an apocalyptic number.

It is an amenable number.

744221216740 is an abundant number, since it is smaller than the sum of its proper divisors (823025216012).

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

744221216740 is a wasteful number, since it uses less digits than its factorization.

744221216740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71856 (or 71854 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 744221216740 in words is "seven hundred forty-four billion, two hundred twenty-one million, two hundred sixteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 617 857 1234 1714 2468 3085 3428 4285 6170 8570 12340 17140 70373 140746 281492 351865 528769 703730 1057538 1407460 2115076 2643845 5287690 10575380 43420141 60309661 86840282 120619322 173680564 217100705 241238644 301548305 434201410 603096610 868402820 1206193220 37211060837 74422121674 148844243348 186055304185 372110608370 744221216740