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970000444044 = 2234127137172069
BaseRepresentation
bin11100001110110001000…
…10000010101010001100
310102201201222222002020000
432013120202002222030
5111343030103202134
62021340111524300
7130036341506532
oct16073042025214
93381658862200
10970000444044
11344413a65545
12137bab229690
137061702a8b8
1434d3c0b6152
151a372bc8e99
hexe1d8882a8c

970000444044 has 120 divisors (see below), whose sum is σ = 2574409474560. Its totient is φ = 318444182784.

The previous prime is 970000444043. The next prime is 970000444051. The reversal of 970000444044 is 440444000079.

It is a super-2 number, since 2×9700004440442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (970000444043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5551242 + ... + 5723310.

It is an arithmetic number, because the mean of its divisors is an integer number (21453412288).

Almost surely, 2970000444044 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 970000444044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287204737280).

970000444044 is an abundant number, since it is smaller than the sum of its proper divisors (1604409030516).

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

970000444044 is a wasteful number, since it uses less digits than its factorization.

970000444044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172349 (or 172338 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 970000444044 in words is "nine hundred seventy billion, four hundred forty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 137 162 254 274 324 381 411 508 548 762 822 1143 1233 1524 1644 2286 2466 3429 3699 4572 4932 6858 7398 10287 11097 13716 14796 17399 20574 22194 34798 41148 44388 52197 69596 104394 156591 172069 208788 313182 344138 469773 516207 626364 688276 939546 1032414 1409319 1548621 1879092 2064828 2818638 3097242 4645863 5637276 6194484 9291726 13937589 18583452 21852763 23573453 27875178 43705526 47146906 55750356 65558289 70720359 87411052 94293812 131116578 141440718 196674867 212161077 262233156 282881436 393349734 424322154 590024601 636483231 786699468 848644308 1180049202 1272966462 1770073803 1909449693 2360098404 2545932924 2993828531 3540147606 3818899386 5987657062 7080295212 7637798772 8981485593 11975314124 17962971186 26944456779 35925942372 53888913558 80833370337 107777827116 161666740674 242500111011 323333481348 485000222022 970000444044